Atkin-Lehner |
3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26979f |
Isogeny class |
Conductor |
26979 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-173646097797 = -1 · 3 · 17 · 237 |
Discriminant |
Eigenvalues |
-1 3+ 4 2 -5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10591,-424414] |
[a1,a2,a3,a4,a6] |
Generators |
[128560:46031457:1] |
Generators of the group modulo torsion |
j |
-887503681/1173 |
j-invariant |
L |
4.06066634333 |
L(r)(E,1)/r! |
Ω |
0.23528849520154 |
Real period |
R |
8.6291221758457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80937k1 1173a1 |
Quadratic twists by: -3 -23 |