Atkin-Lehner |
3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975f |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-24402976171875 = -1 · 32 · 58 · 76 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5187,191406] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:212:1] [30:-628:1] |
Generators of the group modulo torsion |
j |
987750361079/1561790475 |
j-invariant |
L |
4.639691015803 |
L(r)(E,1)/r! |
Ω |
0.45854035467658 |
Real period |
R |
0.8431993259486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92925q2 6195g2 |
Quadratic twists by: -3 5 |