Atkin-Lehner |
2- 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bv |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
-70092022823424 = -1 · 29 · 37 · 74 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 -5 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77513,8335433] |
[a1,a2,a3,a4,a6] |
Generators |
[183:412:1] [-237:3772:1] |
Generators of the group modulo torsion |
j |
-70650390803920201/96148179456 |
j-invariant |
L |
16.258213912599 |
L(r)(E,1)/r! |
Ω |
0.61509780054281 |
Real period |
R |
0.091777489039069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758i1 |
Quadratic twists by: -3 |