Atkin-Lehner |
11+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
109021d |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
701184 |
Modular degree for the optimal curve |
Δ |
-1914184293501491 = -1 · 119 · 172 · 532 |
Discriminant |
Eigenvalues |
2 -1 1 -2 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-191220,32317185] |
[a1,a2,a3,a4,a6] |
Generators |
[53070:70435:216] |
Generators of the group modulo torsion |
j |
-327938011136/811801 |
j-invariant |
L |
10.596179447193 |
L(r)(E,1)/r! |
Ω |
0.46906055532202 |
Real period |
R |
2.8237770398992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109021b1 |
Quadratic twists by: -11 |