Atkin-Lehner |
2- 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310br |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-17465017500 = -1 · 22 · 36 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,598,-3099] |
[a1,a2,a3,a4,a6] |
j |
32492296871/23957500 |
j-invariant |
L |
5.5181089845531 |
L(r)(E,1)/r! |
Ω |
0.68976362306915 |
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 |
2590a1 116550cf1 |
Quadratic twists by: -3 5 |