Atkin-Lehner |
2- 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70928q |
Isogeny class |
Conductor |
70928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-182982186134798336 = -1 · 217 · 112 · 13 · 316 |
Discriminant |
Eigenvalues |
2- -1 -3 1 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-458712,-121185296] |
[a1,a2,a3,a4,a6] |
Generators |
[1642:-59582:1] [1228:34144:1] |
Generators of the group modulo torsion |
j |
-2606063631017003353/44673385286816 |
j-invariant |
L |
7.4661713577584 |
L(r)(E,1)/r! |
Ω |
0.091631024249048 |
Real period |
R |
5.0925514985858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866e1 |
Quadratic twists by: -4 |