Atkin-Lehner |
3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26505a |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-76413915 = -1 · 33 · 5 · 19 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-618,5928] |
[a1,a2,a3,a4,a6] |
Generators |
[34:461:8] |
Generators of the group modulo torsion |
j |
-966774915072/2830145 |
j-invariant |
L |
1.8593569200692 |
L(r)(E,1)/r! |
Ω |
1.9417237064775 |
Real period |
R |
1.4363708754236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26505b2 |
Quadratic twists by: -3 |