Atkin-Lehner |
2+ 3- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778j |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-5828846692152 = -1 · 23 · 3 · 119 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,360,116158] |
[a1,a2,a3,a4,a6] |
Generators |
[-127472:1183721:4096] |
Generators of the group modulo torsion |
j |
2197/2472 |
j-invariant |
L |
7.5028829111245 |
L(r)(E,1)/r! |
Ω |
0.59286955576135 |
Real period |
R |
6.3276000940408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74778bj1 |
Quadratic twists by: -11 |