Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ch |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2392320 |
Modular degree for the optimal curve |
Δ |
1.0876952050781E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240765,-507334400] |
[a1,a2,a3,a4,a6] |
Generators |
[-720:3500:1] |
Generators of the group modulo torsion |
j |
13203001790089776726016/679809503173828125 |
j-invariant |
L |
5.8111500549035 |
L(r)(E,1)/r! |
Ω |
0.1435042720245 |
Real period |
R |
1.1569889619086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740t1 |
Quadratic twists by: -4 |