Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690v |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
786760879781250 = 2 · 39 · 56 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-385508,-92023019] |
[a1,a2,a3,a4,a6] |
Generators |
[-952261140198060:214740169233913:2662500456000] |
Generators of the group modulo torsion |
j |
321907835707276923/39971593750 |
j-invariant |
L |
8.9916259747899 |
L(r)(E,1)/r! |
Ω |
0.19159956989175 |
Real period |
R |
23.464629852431 |
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 |
30690d2 |
Quadratic twists by: -3 |