Atkin-Lehner |
3+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107457i |
Isogeny class |
Conductor |
107457 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-4924761851727809217 = -1 · 37 · 78 · 173 · 433 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 -7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22631827,-41450310742] |
[a1,a2,a3,a4,a6] |
j |
-10896683010392020486177/41859785053233 |
j-invariant |
L |
0.62296221477863 |
L(r)(E,1)/r! |
Ω |
0.034609040185396 |
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 |
15351e1 |
Quadratic twists by: -7 |