Atkin-Lehner |
5- 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123025n |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-7.5852722367283E+19 |
Discriminant |
Eigenvalues |
1 3 5- 7+ 2 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-224992,-420980959] |
[a1,a2,a3,a4,a6] |
Generators |
[753186284521807784233174983319049729213380662514302514792788984:31658905701995167731348893019604295377085899277226123419283241577:372166113161009100509080579056960911901047161680633051278253] |
Generators of the group modulo torsion |
j |
-644905361692773/38836593852049 |
j-invariant |
L |
16.902317749545 |
L(r)(E,1)/r! |
Ω |
0.085121083556244 |
Real period |
R |
99.283967281598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123025p1 |
Quadratic twists by: 5 |