Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184bc |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-743095296 = -1 · 210 · 34 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -4 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,215,-433] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] [26:153:1] |
Generators of the group modulo torsion |
j |
1068359936/725679 |
j-invariant |
L |
13.59048734696 |
L(r)(E,1)/r! |
Ω |
0.90772802592247 |
Real period |
R |
1.8714977062306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184a1 25296j1 |
Quadratic twists by: -4 8 |