Atkin-Lehner |
3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471s |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-29089665817566459 = -1 · 3 · 714 · 17 · 292 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -3 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-74104,-11321810] |
[a1,a2,a3,a4,a6] |
j |
-382530691698688/247258079691 |
j-invariant |
L |
2.2494597784515 |
L(r)(E,1)/r! |
Ω |
0.14059123543162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10353d1 |
Quadratic twists by: -7 |