Atkin-Lehner |
3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7791h |
Isogeny class |
Conductor |
7791 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-19248670539 = -1 · 32 · 79 · 53 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -3 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-114,-6730] |
[a1,a2,a3,a4,a6] |
Generators |
[65:514:1] |
Generators of the group modulo torsion |
j |
-4096/477 |
j-invariant |
L |
3.1142514341545 |
L(r)(E,1)/r! |
Ω |
0.54118065646613 |
Real period |
R |
1.4386376328056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656cj1 23373n1 7791d1 |
Quadratic twists by: -4 -3 -7 |