Atkin-Lehner |
2+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400f |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-13484800 = -1 · 28 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-170] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] [9:28:1] |
Generators of the group modulo torsion |
j |
270000/2107 |
j-invariant |
L |
11.265945982144 |
L(r)(E,1)/r! |
Ω |
1.1103519488517 |
Real period |
R |
2.5365709478136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60200l1 120400o1 |
Quadratic twists by: -4 5 |