Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282y |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
17952 |
Modular degree for the optimal curve |
Δ |
-3193903104 = -1 · 211 · 3 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-414,4059] |
[a1,a2,a3,a4,a6] |
Generators |
[57:383:1] |
Generators of the group modulo torsion |
j |
-160174810033/65181696 |
j-invariant |
L |
8.9843623081763 |
L(r)(E,1)/r! |
Ω |
1.3297684922687 |
Real period |
R |
0.30710616719484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846bt1 30282bf1 |
Quadratic twists by: -3 -7 |