Atkin-Lehner |
2+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113498b |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
10422334295296 = 28 · 73 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 11- 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6778,145556] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:78:1] [-5:426:1] |
Generators of the group modulo torsion |
j |
19443408769/5883136 |
j-invariant |
L |
6.2431121277 |
L(r)(E,1)/r! |
Ω |
0.66980282566492 |
Real period |
R |
2.3302052093598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999892147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
938c1 |
Quadratic twists by: -11 |