Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600dn |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
-27671044800000000 = -1 · 212 · 3 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114333,-16934037] |
[a1,a2,a3,a4,a6] |
Generators |
[7573190973794313509631:142360559733265645678516:12766292098662110679] |
Generators of the group modulo torsion |
j |
-17920/3 |
j-invariant |
L |
8.9959224296228 |
L(r)(E,1)/r! |
Ω |
0.12863649399028 |
Real period |
R |
34.966447508677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600fn1 117600ef1 117600bo1 |
Quadratic twists by: -4 5 -7 |