Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9300b |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-627750000 = -1 · 24 · 34 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58,1237] |
[a1,a2,a3,a4,a6] |
j |
-87808/2511 |
j-invariant |
L |
2.7141198256459 |
L(r)(E,1)/r! |
Ω |
1.357059912823 |
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 |
37200dk1 27900h1 372d1 |
Quadratic twists by: -4 -3 5 |