Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600ci |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1889280 |
Modular degree for the optimal curve |
Δ |
-1704907169351680000 = -1 · 214 · 54 · 74 · 375 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,57792,62612788] |
[a1,a2,a3,a4,a6] |
Generators |
[644:19166:1] |
Generators of the group modulo torsion |
j |
8338336259375/665979363028 |
j-invariant |
L |
3.2655089109766 |
L(r)(E,1)/r! |
Ω |
0.20307960492315 |
Real period |
R |
0.40199862599876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950p1 103600be1 |
Quadratic twists by: -4 5 |