Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440cg |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
1595842560000 = 216 · 34 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4960,121600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:270:1] |
Generators of the group modulo torsion |
j |
3295310559841/389610000 |
j-invariant |
L |
7.6232681487958 |
L(r)(E,1)/r! |
Ω |
0.8163586500698 |
Real period |
R |
1.1672670136367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999483266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430br1 |
Quadratic twists by: -4 |