Atkin-Lehner |
2- 3+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780c |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-282439261605600000 = -1 · 28 · 33 · 55 · 118 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -6 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18312,-25551612] |
[a1,a2,a3,a4,a6] |
Generators |
[276:726:1] [397:6655:1] |
Generators of the group modulo torsion |
j |
98248815157248/40862161690625 |
j-invariant |
L |
11.369919363544 |
L(r)(E,1)/r! |
Ω |
0.14455897705607 |
Real period |
R |
1.6385929456072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120780d1 |
Quadratic twists by: -3 |