Atkin-Lehner |
2+ 3+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42024a |
Isogeny class |
Conductor |
42024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-252144 = -1 · 24 · 32 · 17 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 1 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4096,102277] |
[a1,a2,a3,a4,a6] |
Generators |
[37:3:1] |
Generators of the group modulo torsion |
j |
-475104996753664/15759 |
j-invariant |
L |
3.9763021916008 |
L(r)(E,1)/r! |
Ω |
2.2917498258236 |
Real period |
R |
0.43376268068091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048c1 126072q1 |
Quadratic twists by: -4 -3 |