Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900d |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-62290800 = -1 · 24 · 32 · 52 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1658,-25443] |
[a1,a2,a3,a4,a6] |
Generators |
[1498:19911:8] |
Generators of the group modulo torsion |
j |
-1260895840000/155727 |
j-invariant |
L |
4.6280459803959 |
L(r)(E,1)/r! |
Ω |
0.37406612728576 |
Real period |
R |
6.1861334705358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700z1 42900bh1 |
Quadratic twists by: -3 5 |