Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380f |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5389346729734675200 = 28 · 39 · 52 · 172 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1149903,-461283498] |
[a1,a2,a3,a4,a6] |
Generators |
[-533:442:1] |
Generators of the group modulo torsion |
j |
33371526693226608/1069559298025 |
j-invariant |
L |
6.9498859650748 |
L(r)(E,1)/r! |
Ω |
0.14607869556815 |
Real period |
R |
3.9646928765668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70380n2 |
Quadratic twists by: -3 |