Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26010ba |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-30135272145120000 = -1 · 28 · 33 · 54 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52508,9563231] |
[a1,a2,a3,a4,a6] |
Generators |
[795:21277:1] |
Generators of the group modulo torsion |
j |
-85003587/160000 |
j-invariant |
L |
8.1102170664486 |
L(r)(E,1)/r! |
Ω |
0.33170270116251 |
Real period |
R |
0.25469020143468 |
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 |
26010e1 26010bb1 |
Quadratic twists by: -3 17 |