Atkin-Lehner |
2+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71390f |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-33447071680000 = -1 · 29 · 54 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42353,-3369852] |
[a1,a2,a3,a4,a6] |
Generators |
[1902:-15:8] |
Generators of the group modulo torsion |
j |
-4742478770401/18880000 |
j-invariant |
L |
4.0300305456541 |
L(r)(E,1)/r! |
Ω |
0.1663589867865 |
Real period |
R |
6.0562260889544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590d1 |
Quadratic twists by: -11 |