Atkin-Lehner |
3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1395d |
Isogeny class |
Conductor |
1395 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-112995 = -1 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 0 4 -6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
2.4597101510914 |
L(r)(E,1)/r! |
Ω |
1.2486869872568 |
Real period |
R |
1.9698372580105 |
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 |
22320cc1 89280z1 155c1 6975e1 |
Quadratic twists by: -4 8 -3 5 |