Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834t |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
98496190948452 = 22 · 3 · 119 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-290463,-60372927] |
[a1,a2,a3,a4,a6] |
Generators |
[68717897786216:755797044188607:100414945792] |
Generators of the group modulo torsion |
j |
1149375921875/41772 |
j-invariant |
L |
8.9471039462289 |
L(r)(E,1)/r! |
Ω |
0.20564956219647 |
Real period |
R |
21.753277397392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502h1 42834a1 |
Quadratic twists by: -3 -11 |