Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550x |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-611223320312500000 = -1 · 25 · 513 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 1 -3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85776,-38844802] |
[a1,a2,a3,a4,a6] |
Generators |
[3812:232681:1] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
2.3232842847292 |
L(r)(E,1)/r! |
Ω |
0.12228640291992 |
Real period |
R |
4.7496782742441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310q1 6650f1 |
Quadratic twists by: 5 -7 |