Atkin-Lehner |
3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7791b |
Isogeny class |
Conductor |
7791 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
519714104553 = 35 · 79 · 53 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92145,-10804464] |
[a1,a2,a3,a4,a6] |
Generators |
[5300:382594:1] [4766:94343:8] |
Generators of the group modulo torsion |
j |
2144193817375/12879 |
j-invariant |
L |
5.6309279437364 |
L(r)(E,1)/r! |
Ω |
0.27401930085111 |
Real period |
R |
41.098768781956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656dj1 23373k1 7791f1 |
Quadratic twists by: -4 -3 -7 |