Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800bb |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
126898720000 = 28 · 54 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5233,-142963] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:13:1] [116:893:1] |
Generators of the group modulo torsion |
j |
99069260800/793117 |
j-invariant |
L |
7.7027410236701 |
L(r)(E,1)/r! |
Ω |
0.56158387593904 |
Real period |
R |
2.2860167917693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400h1 98800g1 |
Quadratic twists by: -4 5 |