Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345bg |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5852346562125 = 34 · 53 · 76 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10240,-382333] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:158:1] |
Generators of the group modulo torsion |
j |
24170156844497/1191196125 |
j-invariant |
L |
4.4067758520388 |
L(r)(E,1)/r! |
Ω |
0.47604786074566 |
Real period |
R |
0.77141680760421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035i2 30345f2 |
Quadratic twists by: -3 17 |