Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384ba |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1936639512576 = -1 · 212 · 32 · 175 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1903,-58209] |
[a1,a2,a3,a4,a6] |
Generators |
[33:204:1] [43:324:1] |
Generators of the group modulo torsion |
j |
185973854912/472812381 |
j-invariant |
L |
9.5110086181457 |
L(r)(E,1)/r! |
Ω |
0.42867919070276 |
Real period |
R |
0.55466936723455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384i1 120768u1 |
Quadratic twists by: -4 8 |