Atkin-Lehner |
5- 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127075k |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-335557421875 = -1 · 58 · 133 · 17 · 23 |
Discriminant |
Eigenvalues |
0 -2 5- -4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1833,40494] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:212:1] |
Generators of the group modulo torsion |
j |
-1744568320/859027 |
j-invariant |
L |
1.9246293855141 |
L(r)(E,1)/r! |
Ω |
0.89668595782392 |
Real period |
R |
2.146380532154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000530933 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127075e1 |
Quadratic twists by: 5 |