Atkin-Lehner |
2+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790i |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-18710896960 = -1 · 26 · 5 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -3 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254,-6700] |
[a1,a2,a3,a4,a6] |
Generators |
[100:930:1] |
Generators of the group modulo torsion |
j |
-15438249/159040 |
j-invariant |
L |
3.6152300447893 |
L(r)(E,1)/r! |
Ω |
0.51937528355805 |
Real period |
R |
1.7401819836433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970b1 |
Quadratic twists by: -7 |