Atkin-Lehner |
2- 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504u |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
7862400 |
Modular degree for the optimal curve |
Δ |
-2.9040189973029E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -5 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59025296,174716967312] |
[a1,a2,a3,a4,a6] |
j |
-22209474551934263403281476/28359560520535708233 |
j-invariant |
L |
4.9410642801814 |
L(r)(E,1)/r! |
Ω |
0.11764438762542 |
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 |
85008l1 127512l1 |
Quadratic twists by: -4 -3 |