Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930p |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
37737093240000 = 26 · 36 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32184,-2194560] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:192:1] |
Generators of the group modulo torsion |
j |
5057359576472449/51765560000 |
j-invariant |
L |
3.3079669367259 |
L(r)(E,1)/r! |
Ω |
0.35666244349255 |
Real period |
R |
0.38644931141955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ec2 770f2 34650dc2 48510bb2 |
Quadratic twists by: -4 -3 5 -7 |