Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360el |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25804800 |
Modular degree for the optimal curve |
Δ |
6.2379039066056E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98213921,-354807177279] |
[a1,a2,a3,a4,a6] |
Generators |
[-408434942101955407:-9295886568763090944:68222396797381] |
Generators of the group modulo torsion |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
4.8218914122371 |
L(r)(E,1)/r! |
Ω |
0.048135971528164 |
Real period |
R |
25.043077271939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cs1 21840ce1 |
Quadratic twists by: -4 8 |