Atkin-Lehner |
7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117c |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-514009037597419 = -1 · 77 · 135 · 412 |
Discriminant |
Eigenvalues |
0 0 -1 7- 0 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4312,-1085338] |
[a1,a2,a3,a4,a6] |
Generators |
[994:9355:8] [128:1250:1] |
Generators of the group modulo torsion |
j |
75365351424/4369004731 |
j-invariant |
L |
6.2544802855473 |
L(r)(E,1)/r! |
Ω |
0.2493951846383 |
Real period |
R |
6.269648203731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731a1 |
Quadratic twists by: -7 |