Atkin-Lehner |
2+ 3+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42024b |
Isogeny class |
Conductor |
42024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-11764030464 = -1 · 210 · 38 · 17 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,368,-4580] |
[a1,a2,a3,a4,a6] |
Generators |
[18184348:523193175:21952] |
Generators of the group modulo torsion |
j |
5367678908/11488311 |
j-invariant |
L |
7.4016758954991 |
L(r)(E,1)/r! |
Ω |
0.66094773736905 |
Real period |
R |
11.198579671306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84048e1 126072r1 |
Quadratic twists by: -4 -3 |