Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380v |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-755290444590000 = -1 · 24 · 310 · 54 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16932,-1570831] |
[a1,a2,a3,a4,a6] |
Generators |
[298:-4455:1] |
Generators of the group modulo torsion |
j |
-46025761275904/64753981875 |
j-invariant |
L |
6.9791253004476 |
L(r)(E,1)/r! |
Ω |
0.19907691248508 |
Real period |
R |
0.48690877628366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460b1 |
Quadratic twists by: -3 |