Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586bi |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
1.433150052254E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65974910,96808403981] |
[a1,a2,a3,a4,a6] |
Generators |
[-8423:238467:1] |
Generators of the group modulo torsion |
j |
24591016773082896625/11097062309363712 |
j-invariant |
L |
7.9349202793267 |
L(r)(E,1)/r! |
Ω |
0.063124712519163 |
Real period |
R |
1.3093987484828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862j1 7326d1 |
Quadratic twists by: -3 -11 |