Atkin-Lehner |
2+ 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334i |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-936805716 = -1 · 22 · 33 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,114,1368] |
[a1,a2,a3,a4,a6] |
Generators |
[12:60:1] [-3:33:1] |
Generators of the group modulo torsion |
j |
6038510661/34696508 |
j-invariant |
L |
5.3948509342769 |
L(r)(E,1)/r! |
Ω |
1.1345412298454 |
Real period |
R |
1.1887736629484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26334bg2 |
Quadratic twists by: -3 |