Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
920b |
Isogeny class |
Conductor |
920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-5750000 = -1 · 24 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 0 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,991] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-5:1] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
1.6168440737688 |
L(r)(E,1)/r! |
Ω |
2.4127978013082 |
Real period |
R |
0.055842642957628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1840c1 7360f1 8280u1 4600j1 |
Quadratic twists by: -4 8 -3 5 |