Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650x |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
253360800 |
Modular degree for the optimal curve |
Δ |
2.2176425598959E+31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7109756701,43684957941048] |
[a1,a2,a3,a4,a6] |
Generators |
[-61445752:56187143543:4913] |
Generators of the group modulo torsion |
j |
17649953881920031564585/9847980794711754752 |
j-invariant |
L |
3.2538942750087 |
L(r)(E,1)/r! |
Ω |
0.018562321313338 |
Real period |
R |
5.8431885097832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650bw1 90650bo1 |
Quadratic twists by: 5 -7 |