Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300s |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-72887500000000 = -1 · 28 · 511 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219800,-39665500] |
[a1,a2,a3,a4,a6] |
j |
-855958413312/53125 |
j-invariant |
L |
2.6458929307166 |
L(r)(E,1)/r! |
Ω |
0.1102455376499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660g1 83300g1 |
Quadratic twists by: 5 -7 |