Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370l |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
303360 = 28 · 3 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30,-60] |
[a1,a2,a3,a4,a6] |
j |
2992209121/303360 |
j-invariant |
L |
4.1058560177429 |
L(r)(E,1)/r! |
Ω |
2.0529280088714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18960n1 75840b1 7110d1 11850a1 |
Quadratic twists by: -4 8 -3 5 |