Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550t |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
10963476562500 = 22 · 36 · 511 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124876,-16994602] |
[a1,a2,a3,a4,a6] |
j |
13782741913468081/701662500 |
j-invariant |
L |
1.5238169620358 |
L(r)(E,1)/r! |
Ω |
0.25396949367263 |
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 |
92400es1 34650de1 2310p1 80850n1 |
Quadratic twists by: -4 -3 5 -7 |