Atkin-Lehner |
2- 3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390bv |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-2069359082983597500 = -1 · 22 · 318 · 54 · 31 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,291253,-33687529] |
[a1,a2,a3,a4,a6] |
Generators |
[255159:7554016:729] |
Generators of the group modulo torsion |
j |
3748079585913702551/2838626999977500 |
j-invariant |
L |
11.042473593146 |
L(r)(E,1)/r! |
Ω |
0.146038773117 |
Real period |
R |
9.4516624896214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130m1 |
Quadratic twists by: -3 |