Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300m |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7354368 |
Modular degree for the optimal curve |
Δ |
2.9031692504883E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15204133,22676020762] |
[a1,a2,a3,a4,a6] |
Generators |
[822:103600:1] |
Generators of the group modulo torsion |
j |
1554779164316051439616/11612677001953125 |
j-invariant |
L |
4.3363227043771 |
L(r)(E,1)/r! |
Ω |
0.14364020882547 |
Real period |
R |
5.0314633789104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060n1 |
Quadratic twists by: 5 |