Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330co |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-29284320 = -1 · 25 · 3 · 5 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10,-265] |
[a1,a2,a3,a4,a6] |
Generators |
[15:49:1] |
Generators of the group modulo torsion |
j |
-658489/173280 |
j-invariant |
L |
8.9812842315805 |
L(r)(E,1)/r! |
Ω |
0.93687428147582 |
Real period |
R |
0.9586434808583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330f1 |
Quadratic twists by: 13 |