Atkin-Lehner |
2- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69874j |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-2.5377075080037E+19 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,552686,-183801327] |
[a1,a2,a3,a4,a6] |
Generators |
[681:22199:1] |
Generators of the group modulo torsion |
j |
158698053416746143/215701579104256 |
j-invariant |
L |
10.931328544884 |
L(r)(E,1)/r! |
Ω |
0.11293625104499 |
Real period |
R |
1.7284290354844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982c1 |
Quadratic twists by: -7 |