Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62234n |
Isogeny class |
Conductor |
62234 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-3696201728 = -1 · 212 · 293 · 37 |
Discriminant |
Eigenvalues |
2- -3 -4 -2 -1 -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9177,340665] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-84:1] [-65:844:1] |
Generators of the group modulo torsion |
j |
-3504189196269/151552 |
j-invariant |
L |
6.5685674317819 |
L(r)(E,1)/r! |
Ω |
1.3163727768478 |
Real period |
R |
0.20791246558086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62234f1 |
Quadratic twists by: 29 |