Atkin-Lehner |
2- 7+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
120848c |
Isogeny class |
Conductor |
120848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3217457152 = -1 · 215 · 7 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -5 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7979,-274342] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1466:1] |
Generators of the group modulo torsion |
j |
-13715421517953/785512 |
j-invariant |
L |
5.3805378871496 |
L(r)(E,1)/r! |
Ω |
0.25256952671304 |
Real period |
R |
5.3257987124252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106e1 |
Quadratic twists by: -4 |