Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79524c |
Isogeny class |
Conductor |
79524 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
703872 |
Modular degree for the optimal curve |
Δ |
-164583613406092032 = -1 · 28 · 33 · 478 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,19518724] |
[a1,a2,a3,a4,a6] |
Generators |
[2480:123582:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.2862498144234 |
L(r)(E,1)/r! |
Ω |
0.25636010328083 |
Real period |
R |
6.4094408062827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
79524c2 79524b1 |
Quadratic twists by: -3 -47 |