Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480ej |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-684204032000 = -1 · 216 · 53 · 174 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,-39775] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1360:1] [55:320:1] |
Generators of the group modulo torsion |
j |
-1156/125 |
j-invariant |
L |
10.450535696233 |
L(r)(E,1)/r! |
Ω |
0.40154815686516 |
Real period |
R |
0.72293360905478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480ci1 23120g1 92480db1 |
Quadratic twists by: -4 8 17 |