Atkin-Lehner |
5+ 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
126665a |
Isogeny class |
Conductor |
126665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-83633732875 = -1 · 53 · 76 · 112 · 47 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 11- -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5978,-178446] |
[a1,a2,a3,a4,a6] |
Generators |
[102:522:1] [168:1886:1] |
Generators of the group modulo torsion |
j |
-200818262016/710875 |
j-invariant |
L |
9.0577636510509 |
L(r)(E,1)/r! |
Ω |
0.27141793751239 |
Real period |
R |
8.3430039075775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2585a1 |
Quadratic twists by: -7 |