Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bl |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1.733807130624E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,113397,199795898] |
[a1,a2,a3,a4,a6] |
Generators |
[-3934:40095:8] |
Generators of the group modulo torsion |
j |
54005865593399/5806485000000 |
j-invariant |
L |
6.2902997058942 |
L(r)(E,1)/r! |
Ω |
0.16800167154626 |
Real period |
R |
4.6802359524141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310m1 14160u1 |
Quadratic twists by: -4 -3 |