Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600f |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-11253427200 = -1 · 210 · 38 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,5110] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:72:1] [26:144:1] |
Generators of the group modulo torsion |
j |
-2500/603 |
j-invariant |
L |
11.775283685521 |
L(r)(E,1)/r! |
Ω |
1.0400340959355 |
Real period |
R |
2.8305042438105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bd1 120600ch1 |
Quadratic twists by: -3 5 |