Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31164f |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4536 |
Modular degree for the optimal curve |
Δ |
-1121904 = -1 · 24 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
2385152/1431 |
j-invariant |
L |
5.9197629001626 |
L(r)(E,1)/r! |
Ω |
1.6844515894704 |
Real period |
R |
1.1714520692605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656dp1 93492bc1 31164j1 |
Quadratic twists by: -4 -3 -7 |