Atkin-Lehner |
2+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234t |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
27401794004494 = 2 · 711 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -2 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40254,3081646] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:2545:1] [342:9433:8] |
Generators of the group modulo torsion |
j |
61316796395737/232911406 |
j-invariant |
L |
4.8545329632237 |
L(r)(E,1)/r! |
Ω |
0.66951879229557 |
Real period |
R |
0.90634740560818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462a1 |
Quadratic twists by: -7 |