Atkin-Lehner |
2- 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104r |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-96295993344 = -1 · 214 · 35 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,416,14708] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:114:1] |
Generators of the group modulo torsion |
j |
1939096223/23509764 |
j-invariant |
L |
9.5545837015154 |
L(r)(E,1)/r! |
Ω |
0.78819386050269 |
Real period |
R |
0.60610619925183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7638h1 |
Quadratic twists by: -4 |