Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475h |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
390475192734375 = 3 · 57 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94963,11183906] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:4417:1] [90:1792:1] |
Generators of the group modulo torsion |
j |
51520374361/212415 |
j-invariant |
L |
5.7759017922604 |
L(r)(E,1)/r! |
Ω |
0.53668048098743 |
Real period |
R |
1.3452841115131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495l2 8925ba2 |
Quadratic twists by: 5 -7 |