Atkin-Lehner |
2+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26048c |
Isogeny class |
Conductor |
26048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3414163456 = -1 · 223 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 11- -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1772,28848] |
[a1,a2,a3,a4,a6] |
Generators |
[38:128:1] [29:43:1] |
Generators of the group modulo torsion |
j |
-2347334289/13024 |
j-invariant |
L |
7.5074196325788 |
L(r)(E,1)/r! |
Ω |
1.4173082682133 |
Real period |
R |
1.3242390171834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26048e1 814b1 |
Quadratic twists by: -4 8 |