Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122100bd |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-117216000 = -1 · 28 · 32 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-657] |
[a1,a2,a3,a4,a6] |
Generators |
[42:267:1] |
Generators of the group modulo torsion |
j |
-2809856/3663 |
j-invariant |
L |
9.7715751567559 |
L(r)(E,1)/r! |
Ω |
0.73241027131895 |
Real period |
R |
3.3354171657237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122100p1 |
Quadratic twists by: 5 |