Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807z |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1550689968197601 = 32 · 710 · 112 · 712 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-625070,190151651] |
[a1,a2,a3,a4,a6] |
Generators |
[180319688672:-136613505069:398688256] |
Generators of the group modulo torsion |
j |
229572804717748297/13180647249 |
j-invariant |
L |
12.445381878496 |
L(r)(E,1)/r! |
Ω |
0.45055856279103 |
Real period |
R |
13.811059121766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850914 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16401c2 |
Quadratic twists by: -7 |