Atkin-Lehner |
3- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571i |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1598708500725609 = 32 · 710 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35012,-1633075] |
[a1,a2,a3,a4,a6] |
Generators |
[-3716931:-24750206:29791] |
Generators of the group modulo torsion |
j |
40343019516073/13588798041 |
j-invariant |
L |
8.2848719777365 |
L(r)(E,1)/r! |
Ω |
0.35850791008564 |
Real period |
R |
11.554657181908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778542 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16653f2 |
Quadratic twists by: -7 |