Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310x |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-668946044340 = -1 · 22 · 317 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2151,-9167] |
[a1,a2,a3,a4,a6] |
j |
1509398240111/917621460 |
j-invariant |
L |
2.1071471936249 |
L(r)(E,1)/r! |
Ω |
0.52678679840624 |
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 |
7770n1 116550ei1 |
Quadratic twists by: -3 5 |