Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550a |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-341800550437500 = -1 · 22 · 32 · 56 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20575,-1451375] |
[a1,a2,a3,a4,a6] |
Generators |
[220:2065:1] |
Generators of the group modulo torsion |
j |
-61653281712625/21875235228 |
j-invariant |
L |
2.5253579635829 |
L(r)(E,1)/r! |
Ω |
0.19582039404816 |
Real period |
R |
3.2240742541886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400he3 34650cx3 462g3 80850bx3 |
Quadratic twists by: -4 -3 5 -7 |