Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bb |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
5.1154763227505E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-944856,81263600] |
[a1,a2,a3,a4,a6] |
Generators |
[13100:1495200:1] |
Generators of the group modulo torsion |
j |
22775142322892242009/12488955866090000 |
j-invariant |
L |
9.2683212245553 |
L(r)(E,1)/r! |
Ω |
0.17401011535328 |
Real period |
R |
4.4385931272108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790d1 |
Quadratic twists by: -4 |