Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674u |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-69394707711109872 = -1 · 24 · 316 · 72 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,73876,10026591] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:2709:1] |
Generators of the group modulo torsion |
j |
61166244013918343/95191642950768 |
j-invariant |
L |
9.8348746615894 |
L(r)(E,1)/r! |
Ω |
0.23611519251051 |
Real period |
R |
0.86776805820023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558d1 |
Quadratic twists by: -3 |