Atkin-Lehner |
2- 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060m |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-63770295600 = -1 · 24 · 38 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,12557] |
[a1,a2,a3,a4,a6] |
Generators |
[19:108:1] |
Generators of the group modulo torsion |
j |
-643956736/5467275 |
j-invariant |
L |
7.5468118150665 |
L(r)(E,1)/r! |
Ω |
0.94555095136296 |
Real period |
R |
1.9953477358351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020f1 |
Quadratic twists by: -3 |