Atkin-Lehner |
5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122815d |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-4676242070423914375 = -1 · 54 · 73 · 1110 · 292 |
Discriminant |
Eigenvalues |
-1 2 5+ 7+ 11- 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,398874,37888874] |
[a1,a2,a3,a4,a6] |
Generators |
[85095150:6280797346:15625] |
Generators of the group modulo torsion |
j |
3961637357440391/2639616739375 |
j-invariant |
L |
6.3178588291039 |
L(r)(E,1)/r! |
Ω |
0.15330884760511 |
Real period |
R |
10.302501896582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165b1 |
Quadratic twists by: -11 |