Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400be |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-82366156800 = -1 · 212 · 33 · 52 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 0 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1007,6623] |
[a1,a2,a3,a4,a6] |
Generators |
[2:93:1] |
Generators of the group modulo torsion |
j |
1101744320/804357 |
j-invariant |
L |
7.0869502052535 |
L(r)(E,1)/r! |
Ω |
0.68855100838322 |
Real period |
R |
0.57180869840969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bs1 74400cf1 |
Quadratic twists by: -4 5 |