Atkin-Lehner |
2- 3- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570y |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
5836800 |
Modular degree for the optimal curve |
Δ |
7.1863360451203E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14398322,-21021314079] |
[a1,a2,a3,a4,a6] |
Generators |
[-2209:2409:1] |
Generators of the group modulo torsion |
j |
452826465020303232690649/98577997875450000 |
j-invariant |
L |
11.090036816774 |
L(r)(E,1)/r! |
Ω |
0.077504560876589 |
Real period |
R |
1.1924069027555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190b1 |
Quadratic twists by: -3 |