Atkin-Lehner |
5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
1505a |
Isogeny class |
Conductor |
1505 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-97396075 = -1 · 52 · 72 · 433 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-91,551] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
-84258095104/97396075 |
j-invariant |
L |
1.6438844900615 |
L(r)(E,1)/r! |
Ω |
1.7183837355513 |
Real period |
R |
0.7174843092603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24080h1 96320bc1 13545n1 7525a1 |
Quadratic twists by: -4 8 -3 5 |