Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950bu |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-8734331250000 = -1 · 24 · 39 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2320,134947] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:353:1] |
Generators of the group modulo torsion |
j |
179685/1136 |
j-invariant |
L |
9.4873649443305 |
L(r)(E,1)/r! |
Ω |
0.53136491415528 |
Real period |
R |
2.2318383966442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31950k1 31950c1 |
Quadratic twists by: -3 5 |