Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334w |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1.0281809372286E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4126302,-3221465580] |
[a1,a2,a3,a4,a6] |
Generators |
[-1161:2376:1] |
Generators of the group modulo torsion |
j |
10658087323714628358625/14103990908485632 |
j-invariant |
L |
4.178389689463 |
L(r)(E,1)/r! |
Ω |
0.10593605805371 |
Real period |
R |
0.82172007148891 |
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 |
8778w1 |
Quadratic twists by: -3 |