Atkin-Lehner |
2- 3- 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884k |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
115920 |
Modular degree for the optimal curve |
Δ |
-174732804926064 = -1 · 24 · 35 · 77 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10814,-462379] |
[a1,a2,a3,a4,a6] |
j |
8740226033182976/10920800307879 |
j-invariant |
L |
1.528590876312 |
L(r)(E,1)/r! |
Ω |
0.30571817526435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652l1 |
Quadratic twists by: -3 |