Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025y |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-3421761656324484375 = -1 · 316 · 56 · 72 · 473 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,359095,-32658528] |
[a1,a2,a3,a4,a6] |
j |
449578326020543/300401572023 |
j-invariant |
L |
1.7101107178363 |
L(r)(E,1)/r! |
Ω |
0.14250922816082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24675b1 2961c1 |
Quadratic twists by: -3 5 |