Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-1.4526708502487E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177904500,1590122410000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4075:893025:1] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
8.0449807634489 |
L(r)(E,1)/r! |
Ω |
0.033333969070611 |
Real period |
R |
0.91418492385248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gq1 25200ck1 33600hi1 100800lm1 |
Quadratic twists by: -4 8 -3 5 |