Atkin-Lehner |
2- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26048g |
Isogeny class |
Conductor |
26048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2209190477824 = -1 · 215 · 113 · 373 |
Discriminant |
Eigenvalues |
2- 0 -1 0 11+ 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1492,67984] |
[a1,a2,a3,a4,a6] |
Generators |
[12:296:1] |
Generators of the group modulo torsion |
j |
11209345272/67419143 |
j-invariant |
L |
4.0328769782678 |
L(r)(E,1)/r! |
Ω |
0.5948858160812 |
Real period |
R |
1.1298742462417 |
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 |
26048k1 13024d1 |
Quadratic twists by: -4 8 |