Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
26288l |
Isogeny class |
Conductor |
26288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-3418055770112 = -1 · 226 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -3 4 -2 2 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3677,-23390] |
[a1,a2,a3,a4,a6] |
j |
1342284742791/834486272 |
j-invariant |
L |
1.8285618059266 |
L(r)(E,1)/r! |
Ω |
0.45714045148173 |
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 |
3286b1 105152t1 |
Quadratic twists by: -4 8 |