Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9150v |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-12558375000000 = -1 · 26 · 33 · 59 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20263,1114781] |
[a1,a2,a3,a4,a6] |
Generators |
[79:82:1] |
Generators of the group modulo torsion |
j |
-471092560541/6429888 |
j-invariant |
L |
4.8001450969609 |
L(r)(E,1)/r! |
Ω |
0.71346228498674 |
Real period |
R |
1.1213265223146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200da1 27450ba1 9150o1 |
Quadratic twists by: -4 -3 5 |