Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328h |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-2.3568843386688E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -3 6 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9239505,-10809331371] |
[a1,a2,a3,a4,a6] |
Generators |
[588205:27919514:125] |
Generators of the group modulo torsion |
j |
-8443986847157248/2281476213 |
j-invariant |
L |
5.6853274551597 |
L(r)(E,1)/r! |
Ω |
0.043296255679779 |
Real period |
R |
8.2070137568392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bf1 62328w1 |
Quadratic twists by: -4 -7 |