Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700g |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-80824218750000 = -1 · 24 · 32 · 512 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10033,-576938] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1518:1] |
Generators of the group modulo torsion |
j |
-446806441984/323296875 |
j-invariant |
L |
3.4084745606364 |
L(r)(E,1)/r! |
Ω |
0.23117597721333 |
Real period |
R |
3.6860172517231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540j1 |
Quadratic twists by: 5 |