Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49400i |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-114526094800000000 = -1 · 210 · 58 · 133 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 1 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-741208,245909088] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:18772:1] |
Generators of the group modulo torsion |
j |
-112586054801380/286315237 |
j-invariant |
L |
4.2985989280504 |
L(r)(E,1)/r! |
Ω |
0.33359534145171 |
Real period |
R |
1.0738056945859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800bc1 49400n1 |
Quadratic twists by: -4 5 |