Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226n |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19656 |
Modular degree for the optimal curve |
Δ |
-95133696 = -1 · 213 · 3 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 6 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1468,-21766] |
[a1,a2,a3,a4,a6] |
j |
-7133135240329/1941504 |
j-invariant |
L |
3.471034325134 |
L(r)(E,1)/r! |
Ω |
0.38567048057046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69678bi1 23226a1 |
Quadratic twists by: -3 -7 |