Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334n |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
1297686813088038912 = 214 · 315 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8465787,-9478615707] |
[a1,a2,a3,a4,a6] |
Generators |
[-3698409:1203675:2197] |
Generators of the group modulo torsion |
j |
92044580942235223464625/1780091650326528 |
j-invariant |
L |
4.1293866546611 |
L(r)(E,1)/r! |
Ω |
0.088508141576515 |
Real period |
R |
5.8319305166566 |
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 |
8778u1 |
Quadratic twists by: -3 |