Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478u |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1027309837395695364 = 22 · 32 · 710 · 192 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2540626,-1558984160] |
[a1,a2,a3,a4,a6] |
Generators |
[75928:20879548:1] |
Generators of the group modulo torsion |
j |
15415512004366353433/8731989540036 |
j-invariant |
L |
3.0909987972496 |
L(r)(E,1)/r! |
Ω |
0.11958566235326 |
Real period |
R |
6.4618924866796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080715 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18354i2 |
Quadratic twists by: -7 |