Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135y |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
176611740516225 = 36 · 52 · 78 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39814,-2993413] |
[a1,a2,a3,a4,a6] |
Generators |
[-906:2507:8] |
Generators of the group modulo torsion |
j |
59323563117001/1501175025 |
j-invariant |
L |
6.1992594624577 |
L(r)(E,1)/r! |
Ω |
0.33850268520398 |
Real period |
R |
3.0522945771819 |
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 |
90405bv2 4305d2 |
Quadratic twists by: -3 -7 |