Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345b |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316805593125 = 3 · 54 · 7 · 176 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32518,-2270453] |
[a1,a2,a3,a4,a6] |
Generators |
[-834:511:8] |
Generators of the group modulo torsion |
j |
157551496201/13125 |
j-invariant |
L |
3.1578013940079 |
L(r)(E,1)/r! |
Ω |
0.35552408706476 |
Real period |
R |
4.441051266145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035bi4 105a3 |
Quadratic twists by: -3 17 |