Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334g |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
36328401027072 = 214 · 39 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9357,-190747] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:136:1] |
Generators of the group modulo torsion |
j |
4603290847875/1845673984 |
j-invariant |
L |
4.1527039340021 |
L(r)(E,1)/r! |
Ω |
0.50256131109349 |
Real period |
R |
2.0657698087456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26334be1 |
Quadratic twists by: -3 |