Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bh |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-695575216537600000 = -1 · 217 · 55 · 74 · 294 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 1 -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79560,-39159212] |
[a1,a2,a3,a4,a6] |
Generators |
[268:1218:1] [326:-4640:1] |
Generators of the group modulo torsion |
j |
5663050947239/70728100000 |
j-invariant |
L |
8.6570969234355 |
L(r)(E,1)/r! |
Ω |
0.14051171882559 |
Real period |
R |
0.25671337230477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210e1 113680bg1 |
Quadratic twists by: -4 -7 |