Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560ef |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
15124904755200 = 214 · 36 · 52 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6528,-78752] |
[a1,a2,a3,a4,a6] |
Generators |
[-3804:20165:64] |
Generators of the group modulo torsion |
j |
2575826944/1266325 |
j-invariant |
L |
7.2776093430638 |
L(r)(E,1)/r! |
Ω |
0.55841495974068 |
Real period |
R |
6.516309427919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bh1 26640cc1 11840bh1 |
Quadratic twists by: -4 8 -3 |