Atkin-Lehner |
3+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989c |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-7869359406279931767 = -1 · 34 · 233 · 418 |
Discriminant |
Eigenvalues |
1 3+ 2 2 6 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,219336,129137427] |
[a1,a2,a3,a4,a6] |
Generators |
[28980686068305957480:2182604292144185769489:167357025819712000] |
Generators of the group modulo torsion |
j |
245667233447/1656670887 |
j-invariant |
L |
9.010554295249 |
L(r)(E,1)/r! |
Ω |
0.16984927451231 |
Real period |
R |
26.525147913138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829g1 |
Quadratic twists by: 41 |