Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328c |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-659803571755776 = -1 · 28 · 310 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68665,-7012067] |
[a1,a2,a3,a4,a6] |
Generators |
[859:23814:1] [369:4214:1] |
Generators of the group modulo torsion |
j |
-1188798106624/21907179 |
j-invariant |
L |
9.247228894887 |
L(r)(E,1)/r! |
Ω |
0.14730262632061 |
Real period |
R |
3.9235675586124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656y1 8904b1 |
Quadratic twists by: -4 -7 |