Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520t |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
831755134688492800 = 28 · 52 · 379 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248245,18550457] |
[a1,a2,a3,a4,a6] |
Generators |
[-3574:50653:8] |
Generators of the group modulo torsion |
j |
2575826944/1266325 |
j-invariant |
L |
6.6903293297636 |
L(r)(E,1)/r! |
Ω |
0.25033580909849 |
Real period |
R |
1.6703386749249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27380c1 2960i1 |
Quadratic twists by: -4 37 |