Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cl |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
8.8853361966209E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11+ -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2412255,151406497] |
[a1,a2,a3,a4,a6] |
Generators |
[-34664248414871780603320398459804:-7116489497398527869993977005421945:366601200233957351086284558144] |
Generators of the group modulo torsion |
j |
351716516361/201313750 |
j-invariant |
L |
13.815854074933 |
L(r)(E,1)/r! |
Ω |
0.13501018622539 |
Real period |
R |
51.165969254604 |
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 |
5390f1 26950bw1 |
Quadratic twists by: 5 -7 |