Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hf |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-11985978654720000 = -1 · 229 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103500,-13856400] |
[a1,a2,a3,a4,a6] |
Generators |
[520:8540:1] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
6.0743648652865 |
L(r)(E,1)/r! |
Ω |
0.13235235160629 |
Real period |
R |
3.824617137384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800py1 3150r1 11200bk1 100800gc1 |
Quadratic twists by: -4 8 -3 5 |