Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bc |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-10349193609216 = -1 · 214 · 37 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42404,3375047] |
[a1,a2,a3,a4,a6] |
Generators |
[261:3037:1] |
Generators of the group modulo torsion |
j |
-11566635758883577/14196424704 |
j-invariant |
L |
7.1833703506247 |
L(r)(E,1)/r! |
Ω |
0.72068361314972 |
Real period |
R |
0.059329997336895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14322d1 |
Quadratic twists by: -3 |