Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720c |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-7510712160000 = -1 · 28 · 3 · 54 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4884,9780] |
[a1,a2,a3,a4,a6] |
Generators |
[26:392:1] [254:4192:1] |
Generators of the group modulo torsion |
j |
427694384/249375 |
j-invariant |
L |
9.4305868681382 |
L(r)(E,1)/r! |
Ω |
0.44841512346324 |
Real period |
R |
5.2577323863549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960j1 |
Quadratic twists by: -7 |