Atkin-Lehner |
2+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650i |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
437060000000 = 28 · 57 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56776,5202198] |
[a1,a2,a3,a4,a6] |
Generators |
[121:267:1] |
Generators of the group modulo torsion |
j |
1295349813487729/27971840 |
j-invariant |
L |
2.6098446549644 |
L(r)(E,1)/r! |
Ω |
0.86885069968962 |
Real period |
R |
0.75094738828454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330c1 |
Quadratic twists by: 5 |