Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600h |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75456 |
Modular degree for the optimal curve |
Δ |
-27169030000 = -1 · 24 · 54 · 73 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 1 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,10513] |
[a1,a2,a3,a4,a6] |
Generators |
[24:89:1] |
Generators of the group modulo torsion |
j |
-3930400000/2716903 |
j-invariant |
L |
4.0235408950488 |
L(r)(E,1)/r! |
Ω |
1.0933173936181 |
Real period |
R |
0.9200303988124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998616458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124600s1 |
Quadratic twists by: 5 |