Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
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 |
[1291148150:304811917200:24389] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
7.4966393122221 |
L(r)(E,1)/r! |
Ω |
0.024783645703092 |
Real period |
R |
12.603471439147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pq1 12600bc1 33600bl1 100800fa1 |
Quadratic twists by: -4 8 -3 5 |