Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605s |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1355883843405459375 = -1 · 36 · 55 · 712 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14089,56025911] |
[a1,a2,a3,a4,a6] |
Generators |
[-15116:442499:64] |
Generators of the group modulo torsion |
j |
-2628643361401/11524822509375 |
j-invariant |
L |
8.2998666664494 |
L(r)(E,1)/r! |
Ω |
0.21716644393337 |
Real period |
R |
6.3698197844018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815bh1 4515d1 |
Quadratic twists by: -3 -7 |