Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
910b |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-557375000 = -1 · 23 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59,-1154] |
[a1,a2,a3,a4,a6] |
Generators |
[58:408:1] |
Generators of the group modulo torsion |
j |
-22164361129/557375000 |
j-invariant |
L |
1.9847671663108 |
L(r)(E,1)/r! |
Ω |
0.71038576210201 |
Real period |
R |
0.46565478274742 |
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 |
7280m2 29120v2 8190bx2 4550o2 |
Quadratic twists by: -4 8 -3 5 |