Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480dp |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-94699520 = -1 · 216 · 5 · 172 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748,7888] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:104:1] [2:80:1] |
Generators of the group modulo torsion |
j |
-2443716/5 |
j-invariant |
L |
5.2774958790394 |
L(r)(E,1)/r! |
Ω |
1.903264841293 |
Real period |
R |
0.69321617312446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480bg1 23120l1 92480ep1 |
Quadratic twists by: -4 8 17 |