Atkin-Lehner |
2+ 3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954g |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
60099464484566892 = 22 · 38 · 710 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144587,-17629695] |
[a1,a2,a3,a4,a6] |
Generators |
[851:-22255:1] |
Generators of the group modulo torsion |
j |
334284427491956940601/60099464484566892 |
j-invariant |
L |
2.2775809967781 |
L(r)(E,1)/r! |
Ω |
0.24785628489745 |
Real period |
R |
0.45945597016443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862bs2 |
Quadratic twists by: -3 |