Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800bl |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-55803273680000000 = -1 · 210 · 57 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-363008,84825488] |
[a1,a2,a3,a4,a6] |
Generators |
[368:1100:1] |
Generators of the group modulo torsion |
j |
-57354724/605 |
j-invariant |
L |
7.2061483643144 |
L(r)(E,1)/r! |
Ω |
0.35475613731581 |
Real period |
R |
1.2695601957624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560h1 107800ca1 |
Quadratic twists by: 5 -7 |