Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135y |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-39270414789388125 = -1 · 33 · 54 · 77 · 414 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6491,-9531679] |
[a1,a2,a3,a4,a6] |
Generators |
[5142:126491:8] |
Generators of the group modulo torsion |
j |
257138126279/333793018125 |
j-invariant |
L |
6.1992594624577 |
L(r)(E,1)/r! |
Ω |
0.16925134260199 |
Real period |
R |
6.1045891543638 |
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 |
90405bv3 4305d4 |
Quadratic twists by: -3 -7 |