Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300o |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-11113838290800 = -1 · 24 · 33 · 52 · 7 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1182,159237] |
[a1,a2,a3,a4,a6] |
Generators |
[3563:212659:1] |
Generators of the group modulo torsion |
j |
456193061120/27784595727 |
j-invariant |
L |
4.481238818883 |
L(r)(E,1)/r! |
Ω |
0.54729401171763 |
Real period |
R |
8.1879916995377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300by1 |
Quadratic twists by: 5 |