Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
120612c |
Isogeny class |
Conductor |
120612 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-277679477024545536 = -1 · 28 · 36 · 19 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 3 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,157995,-7700751] |
[a1,a2,a3,a4,a6] |
j |
11509170176/7327179 |
j-invariant |
L |
4.2542561934793 |
L(r)(E,1)/r! |
Ω |
0.17726066379926 |
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 |
5244b1 |
Quadratic twists by: -23 |