Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bu |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-25987500000000 = -1 · 28 · 33 · 511 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23633,-1427637] |
[a1,a2,a3,a4,a6] |
j |
-364954448896/6496875 |
j-invariant |
L |
2.3078671552417 |
L(r)(E,1)/r! |
Ω |
0.1923222710927 |
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 |
46200o1 18480p1 |
Quadratic twists by: -4 5 |