Atkin-Lehner |
2+ 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190r |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21745152 |
Modular degree for the optimal curve |
Δ |
-8.6042869257578E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120205530,675671195700] |
[a1,a2,a3,a4,a6] |
j |
-263493270966273816880421281/118028627239476658176000 |
j-invariant |
L |
0.33992564256975 |
L(r)(E,1)/r! |
Ω |
0.05665427376652 |
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 |
11730r1 |
Quadratic twists by: -3 |