Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700cc |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-7068165300000000 = -1 · 28 · 312 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47625,598750] |
[a1,a2,a3,a4,a6] |
Generators |
[50475134:4331886084:6859] |
Generators of the group modulo torsion |
j |
163870640/96957 |
j-invariant |
L |
7.0059405617747 |
L(r)(E,1)/r! |
Ω |
0.25554501220134 |
Real period |
R |
13.707840424862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900bc1 119700l1 |
Quadratic twists by: -3 5 |