Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300g |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-259322893452000000 = -1 · 28 · 32 · 56 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129333,30387537] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:-6450:1] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
5.4724136468299 |
L(r)(E,1)/r! |
Ω |
0.2822282716787 |
Real period |
R |
0.16158355359711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3612g1 |
Quadratic twists by: 5 |