Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670ba |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
193536000 |
Modular degree for the optimal curve |
Δ |
4.6133341245924E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4947962108,-85248886269382] |
[a1,a2,a3,a4,a6] |
Generators |
[-21636:3428005:1] |
Generators of the group modulo torsion |
j |
113871375631987281946188566569/39212693049600000000000000 |
j-invariant |
L |
6.938270532134 |
L(r)(E,1)/r! |
Ω |
0.018505990956488 |
Real period |
R |
1.7853344652467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810a1 |
Quadratic twists by: -7 |