Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450p |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
-15142996722656250 = -1 · 2 · 33 · 59 · 7 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97575,-13181625] |
[a1,a2,a3,a4,a6] |
j |
-52603701832709/7753214322 |
j-invariant |
L |
0.26794080829016 |
L(r)(E,1)/r! |
Ω |
0.13397040414432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350fk1 30450dg1 |
Quadratic twists by: -3 5 |