Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080cc |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
526920639381504000 = 219 · 314 · 53 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-807852,-277286096] |
[a1,a2,a3,a4,a6] |
Generators |
[-492:1040:1] |
Generators of the group modulo torsion |
j |
305106651317161/2757260250 |
j-invariant |
L |
7.7610232667426 |
L(r)(E,1)/r! |
Ω |
0.15933216100259 |
Real period |
R |
4.0591424429318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ff2 3690p2 39360bc2 |
Quadratic twists by: -4 8 -3 |