Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4902o |
Isogeny class |
Conductor |
4902 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
76160 |
Modular degree for the optimal curve |
Δ |
146661674185654272 = 234 · 35 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134160,4260096] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2064:1] |
Generators of the group modulo torsion |
j |
267050295730790058241/146661674185654272 |
j-invariant |
L |
5.2948312434329 |
L(r)(E,1)/r! |
Ω |
0.28332216384298 |
Real period |
R |
0.2198632518923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216o1 14706l1 122550e1 93138j1 |
Quadratic twists by: -4 -3 5 -19 |