Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200n |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-151500000000 = -1 · 28 · 3 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4908,135312] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:428:1] [-28:500:1] |
Generators of the group modulo torsion |
j |
-3269383504/37875 |
j-invariant |
L |
9.3499739960399 |
L(r)(E,1)/r! |
Ω |
1.0318441526908 |
Real period |
R |
1.1326775912393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60600bi1 24240k1 |
Quadratic twists by: -4 5 |