Atkin-Lehner |
2+ 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670z |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2352481689600 = 213 · 32 · 52 · 73 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2752468,1757416658] |
[a1,a2,a3,a4,a6] |
j |
6723512258917296968047/6858547200 |
j-invariant |
L |
2.0603139384474 |
L(r)(E,1)/r! |
Ω |
0.5150784890661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670f2 |
Quadratic twists by: -7 |