Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310l |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
81841914000 = 24 · 312 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1173,6928] |
[a1,a2,a3,a4,a6] |
j |
178272935636041/81841914000 |
j-invariant |
L |
1.9378258174155 |
L(r)(E,1)/r! |
Ω |
0.96891290870773 |
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 |
18480cc1 73920q1 6930ba1 11550bl1 |
Quadratic twists by: -4 8 -3 5 |