Atkin-Lehner |
2- 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110be |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-787233219840 = -1 · 28 · 37 · 5 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1508,48647] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-179:1] |
Generators of the group modulo torsion |
j |
-519912412921/1079880960 |
j-invariant |
L |
11.331159831032 |
L(r)(E,1)/r! |
Ω |
0.79676533296246 |
Real period |
R |
0.29628024715695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370g1 |
Quadratic twists by: -3 |