Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cz |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-2.31078873718E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-709930,-766577303] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:6345:1] |
Generators of the group modulo torsion |
j |
-11436248277/66784256 |
j-invariant |
L |
8.7346707511245 |
L(r)(E,1)/r! |
Ω |
0.073666957599923 |
Real period |
R |
5.9284861460913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42350bh1 3850j1 |
Quadratic twists by: 5 -11 |