Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400bo |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
596503089731250000 = 24 · 32 · 58 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-402783,-91238562] |
[a1,a2,a3,a4,a6] |
Generators |
[-1793891:13259475:4913] |
Generators of the group modulo torsion |
j |
2725888/225 |
j-invariant |
L |
7.4341159827065 |
L(r)(E,1)/r! |
Ω |
0.19050424376467 |
Real period |
R |
9.7558403660228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280q1 101400dl1 |
Quadratic twists by: 5 13 |