Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075ch |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-53251171875 = -1 · 36 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- 3 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-100875,-12331719] |
[a1,a2,a3,a4,a6] |
j |
-398645432320/187 |
j-invariant |
L |
6.6972061008652 |
L(r)(E,1)/r! |
Ω |
0.13394412201928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675t1 42075br1 |
Quadratic twists by: -3 5 |