Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cs |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-2236920845112011520 = -1 · 28 · 313 · 5 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301905,-96302277] |
[a1,a2,a3,a4,a6] |
j |
-101043379262464/74271536955 |
j-invariant |
L |
5.1307196902686 |
L(r)(E,1)/r! |
Ω |
0.098667700716437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680ce1 18480b1 |
Quadratic twists by: -4 -7 |