Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bn |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
508780800000000 = 214 · 32 · 58 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111813,-14396469] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:188:1] |
Generators of the group modulo torsion |
j |
9894203278383241/32561971200 |
j-invariant |
L |
10.376935067111 |
L(r)(E,1)/r! |
Ω |
0.26113338284985 |
Real period |
R |
1.4192165600794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090j1 |
Quadratic twists by: 5 |