Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600i |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-740080800000000 = -1 · 211 · 39 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -3 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10125,1248750] |
[a1,a2,a3,a4,a6] |
Generators |
[-4146402:144736686:148877] |
Generators of the group modulo torsion |
j |
7290/47 |
j-invariant |
L |
8.3891189176382 |
L(r)(E,1)/r! |
Ω |
0.36727941472541 |
Real period |
R |
11.420622246005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600bj1 84600bd1 |
Quadratic twists by: -3 5 |