Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135y |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4558310505 = 33 · 5 · 77 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39569,-3032809] |
[a1,a2,a3,a4,a6] |
Generators |
[6303:15259:27] |
Generators of the group modulo torsion |
j |
58235112505081/38745 |
j-invariant |
L |
6.1992594624577 |
L(r)(E,1)/r! |
Ω |
0.33850268520398 |
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 |
90405bv1 4305d1 |
Quadratic twists by: -3 -7 |