Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605b |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-54456780875 = -1 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-79641,-8624253] |
[a1,a2,a3,a4,a6] |
Generators |
[7082:198201:8] |
Generators of the group modulo torsion |
j |
-897625882624/875 |
j-invariant |
L |
1.8173862647134 |
L(r)(E,1)/r! |
Ω |
0.14209699803606 |
Real period |
R |
6.3948794935731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999948847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515j2 129605v2 |
Quadratic twists by: -7 -23 |