Atkin-Lehner |
3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26019j |
Isogeny class |
Conductor |
26019 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-11686794811587 = -1 · 39 · 72 · 594 |
Discriminant |
Eigenvalues |
2 3- 2 7- 2 -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4641,-110651] |
[a1,a2,a3,a4,a6] |
Generators |
[242:1913:8] |
Generators of the group modulo torsion |
j |
309481582592/327168747 |
j-invariant |
L |
12.072272733701 |
L(r)(E,1)/r! |
Ω |
0.38753643394896 |
Real period |
R |
3.8939154090254 |
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 |
8673e1 26019g1 |
Quadratic twists by: -3 -7 |