Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525s |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-6.2674915311586E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8689583,10566591869] |
[a1,a2,a3,a4,a6] |
j |
-7430542562406400000/641791132790643 |
j-invariant |
L |
3.6723361378813 |
L(r)(E,1)/r! |
Ω |
0.13115486206724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575z1 30525o1 |
Quadratic twists by: -3 5 |