Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725r |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1596000 |
Modular degree for the optimal curve |
Δ |
-39801897529296875 = -1 · 510 · 79 · 101 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 6 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-214375,39391406] |
[a1,a2,a3,a4,a6] |
Generators |
[6762:32057:27] |
Generators of the group modulo torsion |
j |
-2764800/101 |
j-invariant |
L |
3.4691928379481 |
L(r)(E,1)/r! |
Ω |
0.36096240110287 |
Real period |
R |
4.8054767933461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998685787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123725y1 123725i1 |
Quadratic twists by: 5 -7 |