Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930bd |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-20121761180052000 = -1 · 25 · 38 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,58186,4175336] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-4724:1] |
Generators of the group modulo torsion |
j |
185183253170999/171032148000 |
j-invariant |
L |
4.0149818803224 |
L(r)(E,1)/r! |
Ω |
0.2515155641614 |
Real period |
R |
0.49884858687934 |
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 |
83790fi1 3990i1 |
Quadratic twists by: -3 -7 |