Atkin-Lehner |
2- 7+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120848h |
Isogeny class |
Conductor |
120848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-494407335804928 = -1 · 221 · 75 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17680,-1395264] |
[a1,a2,a3,a4,a6] |
j |
-149222774347921/120704915968 |
j-invariant |
L |
3.2016771052126 |
L(r)(E,1)/r! |
Ω |
0.20010477048469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106g1 |
Quadratic twists by: -4 |