Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736u |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-32730892992 = -1 · 26 · 33 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 1 0 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1524,24498] |
[a1,a2,a3,a4,a6] |
Generators |
[19:49:1] |
Generators of the group modulo torsion |
j |
-226534772736/18941489 |
j-invariant |
L |
7.9872249626194 |
L(r)(E,1)/r! |
Ω |
1.1435669571536 |
Real period |
R |
0.49889170483461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cv1 1449b1 92736n1 |
Quadratic twists by: -4 8 -3 |