Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760bb |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-46539360000 = -1 · 28 · 37 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,897,-898] |
[a1,a2,a3,a4,a6] |
Generators |
[26:200:1] |
Generators of the group modulo torsion |
j |
427694384/249375 |
j-invariant |
L |
5.9946065337136 |
L(r)(E,1)/r! |
Ω |
0.66948296800225 |
Real period |
R |
2.2385209234755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47880bd1 31920j1 |
Quadratic twists by: -4 -3 |