Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26600n |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
831250000 = 24 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 1 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250,625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:25:1] |
Generators of the group modulo torsion |
j |
276480/133 |
j-invariant |
L |
2.6770063341834 |
L(r)(E,1)/r! |
Ω |
1.4120518535189 |
Real period |
R |
0.31597120265238 |
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 |
53200ba1 26600bd1 |
Quadratic twists by: -4 5 |