Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960cy |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36352 |
Modular degree for the optimal curve |
Δ |
-49643520 = -1 · 215 · 3 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -2 -5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,417] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:19:1] [-3:24:1] |
Generators of the group modulo torsion |
j |
-941192/1515 |
j-invariant |
L |
8.2468681364469 |
L(r)(E,1)/r! |
Ω |
1.7981943324961 |
Real period |
R |
1.1465485107975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960ed1 48480q1 |
Quadratic twists by: -4 8 |