Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110bc |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46848 |
Modular degree for the optimal curve |
Δ |
-5243106240 = -1 · 26 · 33 · 5 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,373,2011] |
[a1,a2,a3,a4,a6] |
Generators |
[49:344:1] |
Generators of the group modulo torsion |
j |
213097102317/194189120 |
j-invariant |
L |
12.016464048158 |
L(r)(E,1)/r! |
Ω |
0.88853128670973 |
Real period |
R |
1.1269968980537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110a1 |
Quadratic twists by: -3 |