Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800qb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-853298675712000 = -1 · 218 · 312 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4020,1402000] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1120:1] |
Generators of the group modulo torsion |
j |
300763/35721 |
j-invariant |
L |
8.1162229716915 |
L(r)(E,1)/r! |
Ω |
0.38441643112608 |
Real period |
R |
1.3195688166243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800hi2 25200fw2 33600hp2 100800pc2 |
Quadratic twists by: -4 8 -3 5 |