Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450m |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-932531250 = -1 · 2 · 3 · 56 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1050,12750] |
[a1,a2,a3,a4,a6] |
Generators |
[5:85:1] |
Generators of the group modulo torsion |
j |
-8205738913/59682 |
j-invariant |
L |
2.8150930986076 |
L(r)(E,1)/r! |
Ω |
1.5791031957351 |
Real period |
R |
0.2971193930634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350er1 1218i1 |
Quadratic twists by: -3 5 |