Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135y |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
30774380404780845 = 312 · 5 · 710 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90039,6067177] |
[a1,a2,a3,a4,a6] |
Generators |
[305:2493:1] |
Generators of the group modulo torsion |
j |
686152305984601/261577917405 |
j-invariant |
L |
6.1992594624577 |
L(r)(E,1)/r! |
Ω |
0.33850268520398 |
Real period |
R |
1.5261472885909 |
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 |
90405bv4 4305d3 |
Quadratic twists by: -3 -7 |