Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634v |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-7463710913904 = -1 · 24 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3096,-146448] |
[a1,a2,a3,a4,a6] |
Generators |
[76:192:1] |
Generators of the group modulo torsion |
j |
-38272753/87024 |
j-invariant |
L |
4.8499099719072 |
L(r)(E,1)/r! |
Ω |
0.29920633326408 |
Real period |
R |
4.0523122614075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bq1 4662b1 |
Quadratic twists by: -3 -7 |