Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
910c |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
12235496000 = 26 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-949,-9984] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:38:1] |
Generators of the group modulo torsion |
j |
94376601570889/12235496000 |
j-invariant |
L |
1.3176683943444 |
L(r)(E,1)/r! |
Ω |
0.86762790352222 |
Real period |
R |
0.50623406224228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7280n3 29120x3 8190bu3 4550q3 |
Quadratic twists by: -4 8 -3 5 |