Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950a |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
330137500000000000 = 211 · 514 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11+ -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-307501,59500648] |
[a1,a2,a3,a4,a6] |
Generators |
[14708:56089:64] |
Generators of the group modulo torsion |
j |
85713473128801/8800000000 |
j-invariant |
L |
4.1993053366495 |
L(r)(E,1)/r! |
Ω |
0.29564284061903 |
Real period |
R |
7.1019905773074 |
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 |
5390bc1 26950k1 |
Quadratic twists by: 5 -7 |