Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gf |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1083988473750000 = -1 · 24 · 34 · 57 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,-1586719] |
[a1,a2,a3,a4,a6] |
Generators |
[139:763:1] |
Generators of the group modulo torsion |
j |
-1771561/589680 |
j-invariant |
L |
8.634391123654 |
L(r)(E,1)/r! |
Ω |
0.21969909668591 |
Real period |
R |
2.4563116275984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110w1 13650cn1 |
Quadratic twists by: 5 -7 |