Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bp |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-2.2045724313155E+25 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -1 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4690274267,-123636356235126] |
[a1,a2,a3,a4,a6] |
Generators |
[31925783:180389533750:1] |
Generators of the group modulo torsion |
j |
-9862297098921556998849/19053906250000 |
j-invariant |
L |
6.1679779011324 |
L(r)(E,1)/r! |
Ω |
0.0091215774263481 |
Real period |
R |
10.245400105433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210q1 113680s1 |
Quadratic twists by: -4 -7 |