Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400w |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-20871500000000 = -1 · 28 · 59 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-154908,23519812] |
[a1,a2,a3,a4,a6] |
Generators |
[6024:3250:27] [-138:6500:1] |
Generators of the group modulo torsion |
j |
-102775137127504/5217875 |
j-invariant |
L |
7.5031971850335 |
L(r)(E,1)/r! |
Ω |
0.64328818433864 |
Real period |
R |
0.2429962368767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800k1 9880b1 |
Quadratic twists by: -4 5 |