Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800gc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.8728091648E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2587500,-1732050000] |
[a1,a2,a3,a4,a6] |
Generators |
[165786862:7986635776:50653] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
5.0240873685798 |
L(r)(E,1)/r! |
Ω |
0.059189771034723 |
Real period |
R |
10.610125868709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800mn1 3150bn1 11200ba1 100800hf1 |
Quadratic twists by: -4 8 -3 5 |