Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cw |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
2353998281250000 = 24 · 3 · 510 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95195,11029668] |
[a1,a2,a3,a4,a6] |
j |
17384275110295552/428935546875 |
j-invariant |
L |
4.5883922489452 |
L(r)(E,1)/r! |
Ω |
0.45883947729317 |
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 |
64680ci1 129360s1 |
Quadratic twists by: -4 -7 |