Atkin-Lehner |
2+ 3- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954m |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
16398095358462048 = 25 · 36 · 76 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-214231,37647002] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:1808:1] |
Generators of the group modulo torsion |
j |
1087345954634692299625/16398095358462048 |
j-invariant |
L |
5.4059488331058 |
L(r)(E,1)/r! |
Ω |
0.39206427300491 |
Real period |
R |
2.2980708374134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92862bu2 |
Quadratic twists by: -3 |