Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800v |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1704960 |
Modular degree for the optimal curve |
Δ |
1956878392500000000 = 28 · 37 · 510 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-519375,127381250] |
[a1,a2,a3,a4,a6] |
Generators |
[271:2556:1] |
Generators of the group modulo torsion |
j |
8501573200/1073733 |
j-invariant |
L |
8.28589194186 |
L(r)(E,1)/r! |
Ω |
0.25326410971676 |
Real period |
R |
1.3631836575358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600p1 127800bx1 |
Quadratic twists by: -3 5 |