Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830ba |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
27300321000 = 23 · 39 · 53 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -6 -7 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3600,-81864] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:36:1] [-33:30:1] |
Generators of the group modulo torsion |
j |
7078993977601/37449000 |
j-invariant |
L |
6.837131085093 |
L(r)(E,1)/r! |
Ω |
0.61653337007882 |
Real period |
R |
2.7724091746376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610bm1 |
Quadratic twists by: -3 |