Atkin-Lehner |
2+ 3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210c |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3562240 |
Modular degree for the optimal curve |
Δ |
-2.7658081054688E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12183083,18213605373] |
[a1,a2,a3,a4,a6] |
j |
-199984058000571147591484729/27658081054687500000000 |
j-invariant |
L |
0.45849880268076 |
L(r)(E,1)/r! |
Ω |
0.11462470067006 |
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 |
90630cb1 |
Quadratic twists by: -3 |