Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786cr |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
1162748795941168128 = 210 · 36 · 79 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13501167,19093163193] |
[a1,a2,a3,a4,a6] |
j |
2313392917809464711137/9883201692672 |
j-invariant |
L |
7.2469563788965 |
L(r)(E,1)/r! |
Ω |
0.2415652211548 |
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 |
13398w1 |
Quadratic twists by: -7 |