Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26714o |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6581693593088 = -1 · 29 · 193 · 374 |
Discriminant |
Eigenvalues |
2- -1 -2 1 -2 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2396,-113883] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-319:1] |
Generators of the group modulo torsion |
j |
221774710877/959570432 |
j-invariant |
L |
5.5439623072335 |
L(r)(E,1)/r! |
Ω |
0.37941946946352 |
Real period |
R |
0.20294023550828 |
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 |
26714c1 |
Quadratic twists by: -19 |