Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cr |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
-20988075000000 = -1 · 26 · 3 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 0 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6417,95037] |
[a1,a2,a3,a4,a6] |
Generators |
[292:5175:1] |
Generators of the group modulo torsion |
j |
1168724480/839523 |
j-invariant |
L |
6.8735370304709 |
L(r)(E,1)/r! |
Ω |
0.43293597270668 |
Real period |
R |
1.3230472558615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fa1 55200cz1 110400dk1 |
Quadratic twists by: -4 8 5 |