Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930n |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
23838185226240 = 220 · 310 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8919,225693] |
[a1,a2,a3,a4,a6] |
j |
107639597521009/32699842560 |
j-invariant |
L |
1.2500440860479 |
L(r)(E,1)/r! |
Ω |
0.62502204302397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440er1 2310q1 34650ds1 48510bf1 |
Quadratic twists by: -4 -3 5 -7 |