Atkin-Lehner |
3- 5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
73485h |
Isogeny class |
Conductor |
73485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-7797028327734375 = -1 · 312 · 58 · 232 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43583,5516606] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:2881:1] [-108:3046:1] |
Generators of the group modulo torsion |
j |
-12558512596542121/10695512109375 |
j-invariant |
L |
6.9923091962951 |
L(r)(E,1)/r! |
Ω |
0.38098225367531 |
Real period |
R |
4.5883431109862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24495h1 |
Quadratic twists by: -3 |