Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344do |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
5.1938295563856E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2161848,-1173285880] |
[a1,a2,a3,a4,a6] |
Generators |
[-5690186981330:-28465572923640:7845011803] |
Generators of the group modulo torsion |
j |
141150208/6561 |
j-invariant |
L |
10.044831490611 |
L(r)(E,1)/r! |
Ω |
0.12486530750524 |
Real period |
R |
20.111333740068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gq1 12168k1 32448v1 97344dp1 |
Quadratic twists by: -4 8 -3 13 |