Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760cr |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
201803857920000 = 218 · 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18147,-646686] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:318:1] [-62:490:1] |
Generators of the group modulo torsion |
j |
5976054062523/1824760000 |
j-invariant |
L |
11.607868186731 |
L(r)(E,1)/r! |
Ω |
0.42110752760688 |
Real period |
R |
1.722818316228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970i1 95760bz1 |
Quadratic twists by: -4 -3 |