Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030f |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1024640963219292160 = 224 · 5 · 76 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-311028,-45799088] |
[a1,a2,a3,a4,a6] |
Generators |
[-11112:101812:27] |
Generators of the group modulo torsion |
j |
28283693153853241/8709304483840 |
j-invariant |
L |
2.2262501885382 |
L(r)(E,1)/r! |
Ω |
0.20701850085172 |
Real period |
R |
1.7923117816193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bu2 470b2 |
Quadratic twists by: 5 -7 |