Atkin-Lehner |
2+ 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
95942j |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-12167903825924 = -1 · 22 · 710 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11+ -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22418,-1312184] |
[a1,a2,a3,a4,a6] |
Generators |
[573:12919:1] [188:984:1] |
Generators of the group modulo torsion |
j |
-10591472326681/103425476 |
j-invariant |
L |
6.1528074442444 |
L(r)(E,1)/r! |
Ω |
0.19496871359625 |
Real period |
R |
1.9723701211534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706e1 |
Quadratic twists by: -7 |