Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192bj |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-28106764201230336 = -1 · 234 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -1 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65008,-4914156] |
[a1,a2,a3,a4,a6] |
j |
7417499034477167/6862002978816 |
j-invariant |
L |
2.457210349219 |
L(r)(E,1)/r! |
Ω |
0.20476752910168 |
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 |
3774p1 120768cv1 90576bi1 |
Quadratic twists by: -4 8 -3 |