Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-3859475445000000 = -1 · 26 · 38 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75675,8552000] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:4050:1] |
Generators of the group modulo torsion |
j |
-65743598656/5294205 |
j-invariant |
L |
7.8271404266081 |
L(r)(E,1)/r! |
Ω |
0.43248642222164 |
Real period |
R |
2.2622503253142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800og1 50400dk2 33600eu1 20160fl1 |
Quadratic twists by: -4 8 -3 5 |