Atkin-Lehner |
3- 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73935f |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
629760 |
Modular degree for the optimal curve |
Δ |
-1105090040671875 = -1 · 316 · 56 · 31 · 53 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-110073,-14146947] |
[a1,a2,a3,a4,a6] |
j |
-202319896114671616/1515898546875 |
j-invariant |
L |
4.1918431409558 |
L(r)(E,1)/r! |
Ω |
0.13099509628021 |
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 |
24645g1 |
Quadratic twists by: -3 |