Atkin-Lehner |
2- 3- 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26418p |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
33906367660032 = 224 · 33 · 7 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43469,-3480687] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:163:1] |
Generators of the group modulo torsion |
j |
9083710501490607697/33906367660032 |
j-invariant |
L |
8.7340003337458 |
L(r)(E,1)/r! |
Ω |
0.33071362313722 |
Real period |
R |
0.73359880999266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254j1 |
Quadratic twists by: -3 |