Atkin-Lehner |
2- 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bt |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-118676906232643584 = -1 · 217 · 39 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,121911,2558583] |
[a1,a2,a3,a4,a6] |
j |
1703193262339967/1008737058816 |
j-invariant |
L |
6.8714902610517 |
L(r)(E,1)/r! |
Ω |
0.20210265398148 |
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 |
2346j1 |
Quadratic twists by: -7 |