Atkin-Lehner |
2+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
97088j |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-186325548204032 = -1 · 216 · 375 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 0 -1 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34817,2596993] |
[a1,a2,a3,a4,a6] |
Generators |
[111:296:1] |
Generators of the group modulo torsion |
j |
-71224645699588/2843102237 |
j-invariant |
L |
5.9363418218127 |
L(r)(E,1)/r! |
Ω |
0.56370264145013 |
Real period |
R |
1.053098103261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97088p1 12136b1 |
Quadratic twists by: -4 8 |