Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bi |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
197064000 |
Modular degree for the optimal curve |
Δ |
-1.1901383522607E+27 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-140367893513,20241772246427906] |
[a1,a2,a3,a4,a6] |
Generators |
[9814764201980:4929309554601506:21253933] |
Generators of the group modulo torsion |
j |
-2771957867660775809911105/10785915553923 |
j-invariant |
L |
3.7028251701573 |
L(r)(E,1)/r! |
Ω |
0.032613799313906 |
Real period |
R |
18.922589251857 |
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 |
62475cd1 62475cl1 |
Quadratic twists by: 5 -7 |