Atkin-Lehner |
2+ 3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954f |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1690176804624 = 24 · 34 · 74 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6856,-212240] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:118:1] |
Generators of the group modulo torsion |
j |
35647995303445897/1690176804624 |
j-invariant |
L |
2.7469288818165 |
L(r)(E,1)/r! |
Ω |
0.52619646143792 |
Real period |
R |
1.3050871124779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92862br2 |
Quadratic twists by: -3 |