Atkin-Lehner |
3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
26499c |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-470065761 = -1 · 36 · 112 · 732 |
Discriminant |
Eigenvalues |
1 3+ 1 2 11- 1 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-112,1093] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-29:1] |
Generators of the group modulo torsion |
j |
-1302078481/3884841 |
j-invariant |
L |
6.355498071494 |
L(r)(E,1)/r! |
Ω |
1.4630552613021 |
Real period |
R |
1.0859976105478 |
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 |
79497m1 26499b1 |
Quadratic twists by: -3 -11 |