Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850x |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7620480 |
Modular degree for the optimal curve |
Δ |
1.538077730805E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8284700,-8985726000] |
[a1,a2,a3,a4,a6] |
Generators |
[1281707:37324475:343] |
Generators of the group modulo torsion |
j |
22796790625/557568 |
j-invariant |
L |
3.82722443103 |
L(r)(E,1)/r! |
Ω |
0.089120533483073 |
Real period |
R |
10.736090449578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850hl1 80850bv1 |
Quadratic twists by: 5 -7 |