Atkin-Lehner |
2- 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910bd |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1069056 |
Modular degree for the optimal curve |
Δ |
-328895781380437500 = -1 · 22 · 318 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,63337,-26917333] |
[a1,a2,a3,a4,a6] |
Generators |
[4817274:100921789:10648] |
Generators of the group modulo torsion |
j |
38545623826493399/451160193937500 |
j-invariant |
L |
7.051377592861 |
L(r)(E,1)/r! |
Ω |
0.1497842304536 |
Real period |
R |
5.8846127956626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970j1 |
Quadratic twists by: -3 |