Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600d |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-34933806663750000 = -1 · 24 · 39 · 57 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100575,15217875] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2025:1] |
Generators of the group modulo torsion |
j |
-22864543488/7099285 |
j-invariant |
L |
5.7618596490162 |
L(r)(E,1)/r! |
Ω |
0.34745403757146 |
Real period |
R |
2.0728855567807 |
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 |
61200e1 30600bo1 6120p1 |
Quadratic twists by: -4 -3 5 |