Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440cf |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-331935252480 = -1 · 217 · 34 · 5 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520,-27920] |
[a1,a2,a3,a4,a6] |
Generators |
[52:288:1] |
Generators of the group modulo torsion |
j |
-3803721481/81038880 |
j-invariant |
L |
6.2747182382292 |
L(r)(E,1)/r! |
Ω |
0.41572811343145 |
Real period |
R |
0.94333261993934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430v1 |
Quadratic twists by: -4 |