Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304w |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-11264371715066624 = -1 · 28 · 712 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20972,4970756] |
[a1,a2,a3,a4,a6] |
j |
33869988864/374006171 |
j-invariant |
L |
4.7573722280147 |
L(r)(E,1)/r! |
Ω |
0.29733576553658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10472c1 |
Quadratic twists by: -7 |