Atkin-Lehner |
2- 3+ 5+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210s |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
9799680 |
Modular degree for the optimal curve |
Δ |
-1.7512291814499E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 4 7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64242851,198267110849] |
[a1,a2,a3,a4,a6] |
j |
-29322306608274361701389328049/17512291814499359078400 |
j-invariant |
L |
5.3516688195394 |
L(r)(E,1)/r! |
Ω |
0.1216288368078 |
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 |
90630bg1 |
Quadratic twists by: -3 |