Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ci |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9770375577600 = 218 · 32 · 52 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7496,196980] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:630:1] [-44:666:1] |
Generators of the group modulo torsion |
j |
11373926916169/2385345600 |
j-invariant |
L |
12.653168508784 |
L(r)(E,1)/r! |
Ω |
0.68676052231104 |
Real period |
R |
4.6061065314578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994684 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210a2 |
Quadratic twists by: -4 |