Atkin-Lehner |
2+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7462g |
Isogeny class |
Conductor |
7462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
11082353464 = 23 · 7 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -6 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1110,13200] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:201:8] |
Generators of the group modulo torsion |
j |
151053257765593/11082353464 |
j-invariant |
L |
2.7484581153404 |
L(r)(E,1)/r! |
Ω |
1.2515794263976 |
Real period |
R |
3.2939876495709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59696o1 67158cd1 52234k1 97006j1 |
Quadratic twists by: -4 -3 -7 13 |