Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830be |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1567702080 = 26 · 33 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1026,12420] |
[a1,a2,a3,a4,a6] |
j |
119451676585249/1567702080 |
j-invariant |
L |
4.5271332609606 |
L(r)(E,1)/r! |
Ω |
1.5090444203202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38640bm1 14490bf1 24150g1 33810cl1 |
Quadratic twists by: -4 -3 5 -7 |