Atkin-Lehner |
2+ 3+ 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702b |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6184482607044 = 22 · 310 · 72 · 172 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4641,-24255] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:322:1] |
Generators of the group modulo torsion |
j |
11058713948111257/6184482607044 |
j-invariant |
L |
2.5467745966741 |
L(r)(E,1)/r! |
Ω |
0.62129377999167 |
Real period |
R |
2.0495735501394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92106bu2 |
Quadratic twists by: -3 |