Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520y |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-58353904000000 = -1 · 210 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15827,849954] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1072:1] [-7:980:1] |
Generators of the group modulo torsion |
j |
-3639412836/484375 |
j-invariant |
L |
12.037970295209 |
L(r)(E,1)/r! |
Ω |
0.60628569901545 |
Real period |
R |
0.82730319512292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999936377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760u1 2480a1 |
Quadratic twists by: -4 -7 |