Atkin-Lehner |
5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67925k |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
16735914451953125 = 58 · 113 · 13 · 195 |
Discriminant |
Eigenvalues |
-2 -2 5+ 1 11+ 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-553508,-158564106] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:237:1] |
Generators of the group modulo torsion |
j |
1200262333794144256/1071098524925 |
j-invariant |
L |
1.930936324472 |
L(r)(E,1)/r! |
Ω |
0.17504180393693 |
Real period |
R |
1.103128670337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13585h1 |
Quadratic twists by: 5 |