Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600i |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-46744468750000 = -1 · 24 · 59 · 75 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 3 0 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8917,59338] |
[a1,a2,a3,a4,a6] |
Generators |
[33:625:1] |
Generators of the group modulo torsion |
j |
2508888064/1495823 |
j-invariant |
L |
3.0942245980511 |
L(r)(E,1)/r! |
Ω |
0.38947102807254 |
Real period |
R |
1.9861712586096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998383308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124600x1 |
Quadratic twists by: 5 |