Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800w |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1113600 |
Modular degree for the optimal curve |
Δ |
13403677300000000 = 28 · 58 · 135 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 0 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2828833,1832233037] |
[a1,a2,a3,a4,a6] |
Generators |
[892:-4225:1] |
Generators of the group modulo torsion |
j |
25034896175703040/134036773 |
j-invariant |
L |
4.7644310304001 |
L(r)(E,1)/r! |
Ω |
0.35286493424268 |
Real period |
R |
0.45007126736867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400bb1 98800a1 |
Quadratic twists by: -4 5 |