Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150k |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5065297031250 = -1 · 2 · 312 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-626,108398] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:346:1] |
Generators of the group modulo torsion |
j |
-1732323601/324179010 |
j-invariant |
L |
4.1920669692439 |
L(r)(E,1)/r! |
Ω |
0.62647140043823 |
Real period |
R |
0.27881473428738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200br1 27450bs1 1830h1 |
Quadratic twists by: -4 -3 5 |