Atkin-Lehner |
2- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650n |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2765000000000 = -1 · 29 · 510 · 7 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121688,16288281] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-203:1] [-75:5037:1] |
Generators of the group modulo torsion |
j |
-12754022216193721/176960000 |
j-invariant |
L |
9.4479918948949 |
L(r)(E,1)/r! |
Ω |
0.73607612408204 |
Real period |
R |
0.35654494245407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530f1 |
Quadratic twists by: 5 |