Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bl |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
330670080 |
Modular degree for the optimal curve |
Δ |
-6.5458932278184E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10874081856,453482772249600] |
[a1,a2,a3,a4,a6] |
Generators |
[76000:8125440:1] |
Generators of the group modulo torsion |
j |
-443321577260160665089/20407334400000000 |
j-invariant |
L |
1.6984492212882 |
L(r)(E,1)/r! |
Ω |
0.023512515918984 |
Real period |
R |
3.0098319089514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995592673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bi1 126960cb1 |
Quadratic twists by: -4 -23 |