Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530ck |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-281050268554687500 = -1 · 22 · 32 · 514 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-552901,-160329619] |
[a1,a2,a3,a4,a6] |
Generators |
[86892279670:-6667042943471:14706125] |
Generators of the group modulo torsion |
j |
-14043903350631507179/211157226562500 |
j-invariant |
L |
13.197045354035 |
L(r)(E,1)/r! |
Ω |
0.087462038867584 |
Real period |
R |
18.86110462483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112530s2 |
Quadratic twists by: -11 |