Atkin-Lehner |
2+ 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910s |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-6536649508536600000 = -1 · 26 · 311 · 55 · 174 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183609,126727213] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-10076:1] |
Generators of the group modulo torsion |
j |
-939029876539375249/8966597405400000 |
j-invariant |
L |
5.4139144233611 |
L(r)(E,1)/r! |
Ω |
0.20275269133786 |
Real period |
R |
0.66755148708863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970o1 |
Quadratic twists by: -3 |