Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840cr |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-69066175786516480 = -1 · 222 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-266240,54278068] |
[a1,a2,a3,a4,a6] |
Generators |
[52:6370:1] |
Generators of the group modulo torsion |
j |
-287626699801/9518080 |
j-invariant |
L |
5.7334555655062 |
L(r)(E,1)/r! |
Ω |
0.34521637493051 |
Real period |
R |
4.15207381119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730bd1 11440r1 |
Quadratic twists by: -4 -11 |