Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900k |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5875200 |
Modular degree for the optimal curve |
Δ |
1.365825476925E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57450000,-167602587500] |
[a1,a2,a3,a4,a6] |
Generators |
[-39331196006413869500667744400368216999597117:2855045450145139393856504866625941047285727:9004276761253617853910864086516515859703] |
Generators of the group modulo torsion |
j |
11506050457600000/74942413 |
j-invariant |
L |
6.9749588530812 |
L(r)(E,1)/r! |
Ω |
0.054837445544594 |
Real period |
R |
63.596679092292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100a1 81900bo1 |
Quadratic twists by: -3 5 |