Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49490h |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-53233819520000 = -1 · 210 · 54 · 77 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2449,-347719] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-1283:1] |
Generators of the group modulo torsion |
j |
13806727199/452480000 |
j-invariant |
L |
10.873585888954 |
L(r)(E,1)/r! |
Ω |
0.30383516917039 |
Real period |
R |
0.44734723759224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070j1 |
Quadratic twists by: -7 |