Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950w |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-2022092187500000 = -1 · 25 · 511 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12225,2105125] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:360:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
2.3025365823455 |
L(r)(E,1)/r! |
Ω |
0.34219044461304 |
Real period |
R |
1.6822040318435 |
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 |
5390ba1 550b1 |
Quadratic twists by: 5 -7 |