Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900bn |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-150713346093750000 = -1 · 24 · 313 · 511 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15675,-18662875] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2025:1] [355:5625:1] |
Generators of the group modulo torsion |
j |
19314944/6834375 |
j-invariant |
L |
11.750457769285 |
L(r)(E,1)/r! |
Ω |
0.15250574782452 |
Real period |
R |
3.2103865857292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300h1 21780h1 108900bm1 |
Quadratic twists by: -3 5 -11 |