Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27900d |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
547319531250000 = 24 · 36 · 511 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236700,-44310375] |
[a1,a2,a3,a4,a6] |
Generators |
[1234:39277:1] |
Generators of the group modulo torsion |
j |
8047314026496/3003125 |
j-invariant |
L |
6.6805396952739 |
L(r)(E,1)/r! |
Ω |
0.21645105990706 |
Real period |
R |
5.1439955203903 |
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 |
111600fd1 3100a1 5580d1 |
Quadratic twists by: -4 -3 5 |