Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
7070j |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-452480000 = -1 · 210 · 54 · 7 · 101 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,50,1035] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:23:1] |
Generators of the group modulo torsion |
j |
13806727199/452480000 |
j-invariant |
L |
5.5079095136733 |
L(r)(E,1)/r! |
Ω |
1.2583472568374 |
Real period |
R |
0.1094274550158 |
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 |
56560p1 63630o1 35350d1 49490h1 |
Quadratic twists by: -4 -3 5 -7 |