Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210a |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
-2.1288416279949E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-326708,70198719312] |
[a1,a2,a3,a4,a6] |
j |
-32780596813828921/18094855272844492800 |
j-invariant |
L |
0.26249307445504 |
L(r)(E,1)/r! |
Ω |
0.065623269154013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030m1 |
Quadratic twists by: -7 |