Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025ba |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-349047808715109375 = -1 · 38 · 56 · 237 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 4 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61992,-29023709] |
[a1,a2,a3,a4,a6] |
Generators |
[190937786:1000037207:493039] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
8.2652147885497 |
L(r)(E,1)/r! |
Ω |
0.12952735651105 |
Real period |
R |
7.9763216319273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999313098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39675j1 4761c1 5175b1 |
Quadratic twists by: -3 5 -23 |