Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104cq |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-436950982656 = -1 · 213 · 37 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1653,-18502] |
[a1,a2,a3,a4,a6] |
Generators |
[13:72:1] [29:-232:1] |
Generators of the group modulo torsion |
j |
6859/6 |
j-invariant |
L |
11.742285125426 |
L(r)(E,1)/r! |
Ω |
0.51780061145947 |
Real period |
R |
0.70866353205467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138bd1 40368y1 121104cr1 |
Quadratic twists by: -4 -3 29 |