Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bq |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-221971057171875 = -1 · 36 · 56 · 117 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-212908575,-1195742989719] |
[a1,a2,a3,a4,a6] |
Generators |
[29792225981428486770851890010693601091571641034424121955340086378977198343968243952202:-3476902246672162887646989980321583583435290321537606897196434425293393583331846994350999:1222497782825593106002385572325540628661153316538582041494829024344205654414173352] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
10.424158129825 |
L(r)(E,1)/r! |
Ω |
0.019761562066032 |
Real period |
R |
131.87416681679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025g3 1089j3 2475h3 |
Quadratic twists by: -3 5 -11 |