Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525v |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
17280000 |
Modular degree for the optimal curve |
Δ |
-4.7021955677543E+23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11- -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27044508,-63385903582] |
[a1,a2,a3,a4,a6] |
Generators |
[20882:2911562:1] |
Generators of the group modulo torsion |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
1.8603930062705 |
L(r)(E,1)/r! |
Ω |
0.032725390655113 |
Real period |
R |
0.71060763871652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705p1 5775f1 |
Quadratic twists by: 5 -11 |