Atkin-Lehner |
2+ 3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350bd |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8037120 |
Modular degree for the optimal curve |
Δ |
8.7843783187866E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -1 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5383026,1665232198] |
[a1,a2,a3,a4,a6] |
Generators |
[-60459121522:2159628033739:30959144] |
Generators of the group modulo torsion |
j |
1104035409161690822929/562200212402343750 |
j-invariant |
L |
4.1433573519793 |
L(r)(E,1)/r! |
Ω |
0.11504642486746 |
Real period |
R |
18.007327723363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670l1 |
Quadratic twists by: 5 |