Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
910c |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1689383150 = 2 · 52 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-304,456] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] |
Generators of the group modulo torsion |
j |
3092354182009/1689383150 |
j-invariant |
L |
1.3176683943444 |
L(r)(E,1)/r! |
Ω |
1.3014418552833 |
Real period |
R |
3.0374043734537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7280n2 29120x2 8190bu2 4550q2 |
Quadratic twists by: -4 8 -3 5 |