Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450b |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1181784205000000000 = -1 · 29 · 510 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,75925,-51647875] |
[a1,a2,a3,a4,a6] |
Generators |
[1907741653563079557466785490137547:118784669157724477566463764061820356:486403540784862658496092527247] |
Generators of the group modulo torsion |
j |
859775/20992 |
j-invariant |
L |
7.1490163951149 |
L(r)(E,1)/r! |
Ω |
0.13262823253713 |
Real period |
R |
53.90267410156 |
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 |
100450cf1 100450s1 |
Quadratic twists by: 5 -7 |