Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100bd |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-5001750000 = -1 · 24 · 34 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6058,179513] |
[a1,a2,a3,a4,a6] |
Generators |
[38:75:1] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
7.5355700089479 |
L(r)(E,1)/r! |
Ω |
1.3270277214665 |
Real period |
R |
0.23660551967917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964b1 |
Quadratic twists by: 5 |