Atkin-Lehner |
2- 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92904n |
Isogeny class |
Conductor |
92904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
12141738217728 = 28 · 36 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7268,172068] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:392:1] [-28:594:1] |
Generators of the group modulo torsion |
j |
1409938000/403137 |
j-invariant |
L |
9.7978869752382 |
L(r)(E,1)/r! |
Ω |
0.66362373420877 |
Real period |
R |
1.8455275314182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13272g1 |
Quadratic twists by: -7 |