Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670br |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
46353086707428900 = 22 · 32 · 52 · 712 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90210,1170315] |
[a1,a2,a3,a4,a6] |
Generators |
[-63462:367673:216] |
Generators of the group modulo torsion |
j |
690080604747409/393994736100 |
j-invariant |
L |
10.885858432107 |
L(r)(E,1)/r! |
Ω |
0.30752201553385 |
Real period |
R |
8.8496578136737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810t2 |
Quadratic twists by: -7 |