Atkin-Lehner |
2+ 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350g |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
342562500 = 22 · 33 · 56 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,-1359] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] [-11:18:1] |
Generators of the group modulo torsion |
j |
5000211/812 |
j-invariant |
L |
7.9089665942751 |
L(r)(E,1)/r! |
Ω |
1.1938363438787 |
Real period |
R |
1.6562082890012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350da1 3654q1 |
Quadratic twists by: -3 5 |