Atkin-Lehner |
2- 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954p |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
86545882708217856 = 212 · 38 · 72 · 114 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98062272,373726214241] |
[a1,a2,a3,a4,a6] |
Generators |
[3573:260853:1] |
Generators of the group modulo torsion |
j |
104286853890324156834712968193/86545882708217856 |
j-invariant |
L |
7.6184704136144 |
L(r)(E,1)/r! |
Ω |
0.21240374314649 |
Real period |
R |
2.9889893890901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92862p2 |
Quadratic twists by: -3 |