Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623j |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
109381718061 = 317 · 7 · 112 |
Discriminant |
Eigenvalues |
2 3- -1 7+ 11- 6 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6303,191947] |
[a1,a2,a3,a4,a6] |
Generators |
[338:257:8] |
Generators of the group modulo torsion |
j |
313944395776/1240029 |
j-invariant |
L |
7.5723200192871 |
L(r)(E,1)/r! |
Ω |
1.0610056076209 |
Real period |
R |
3.5684637125841 |
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 |
121968ft1 2541e1 53361bs1 7623s1 |
Quadratic twists by: -4 -3 -7 -11 |