Atkin-Lehner |
2+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6970c |
Isogeny class |
Conductor |
6970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28079760200 = 23 · 52 · 174 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1314,-16564] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:53:1] [-20:52:1] |
Generators of the group modulo torsion |
j |
250630896906649/28079760200 |
j-invariant |
L |
2.736534568492 |
L(r)(E,1)/r! |
Ω |
0.79880739813278 |
Real period |
R |
0.85644379824461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55760o2 62730bf2 34850p2 118490i2 |
Quadratic twists by: -4 -3 5 17 |