Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bo |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-257735671875 = -1 · 36 · 56 · 113 · 17 |
Discriminant |
Eigenvalues |
2 3- 5+ 5 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1575,-4219] |
[a1,a2,a3,a4,a6] |
j |
37933056/22627 |
j-invariant |
L |
6.8869979156928 |
L(r)(E,1)/r! |
Ω |
0.57391649297153 |
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 |
4675g1 1683j1 |
Quadratic twists by: -3 5 |