Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ex |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
515237113036800 = 216 · 35 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1092520,-439168400] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
2.3627213594945 |
L(r)(E,1)/r! |
Ω |
0.14766999685744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bd1 2640r1 |
Quadratic twists by: -4 -7 |