Atkin-Lehner |
2+ 3+ 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126d |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-23455497977856 = -1 · 221 · 33 · 7 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 1 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1214,233076] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:239:1] |
Generators of the group modulo torsion |
j |
-198124698564073/23455497977856 |
j-invariant |
L |
2.9658820463075 |
L(r)(E,1)/r! |
Ω |
0.55383528855809 |
Real period |
R |
2.6775849314538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378bc1 |
Quadratic twists by: -3 |