Atkin-Lehner |
2+ 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
87472b |
Isogeny class |
Conductor |
87472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1093050112 = -1 · 28 · 7 · 112 · 712 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11- 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,188,1308] |
[a1,a2,a3,a4,a6] |
Generators |
[19:110:1] |
Generators of the group modulo torsion |
j |
2855256752/4269727 |
j-invariant |
L |
4.650988885462 |
L(r)(E,1)/r! |
Ω |
1.0525595416539 |
Real period |
R |
2.2093709200683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43736b1 |
Quadratic twists by: -4 |