Atkin-Lehner |
2- 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780bd |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-516551904000 = -1 · 28 · 37 · 53 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1968,-8156] |
[a1,a2,a3,a4,a6] |
Generators |
[8:90:1] [20:198:1] |
Generators of the group modulo torsion |
j |
4516806656/2767875 |
j-invariant |
L |
12.083839057251 |
L(r)(E,1)/r! |
Ω |
0.53706355033317 |
Real period |
R |
0.31249765116546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40260h1 |
Quadratic twists by: -3 |