Atkin-Lehner |
2+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71672c |
Isogeny class |
Conductor |
71672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-203527981808 = -1 · 24 · 177 · 31 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 -3 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,49601] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:289:1] [164:2023:1] |
Generators of the group modulo torsion |
j |
-4000000/527 |
j-invariant |
L |
11.261448362014 |
L(r)(E,1)/r! |
Ω |
0.97179432614487 |
Real period |
R |
1.4485380366779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4216a1 |
Quadratic twists by: 17 |