Atkin-Lehner |
2- 3- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346bq |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
3940806752796672 = 216 · 39 · 11 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40460,840719] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:2037:1] |
Generators of the group modulo torsion |
j |
10047632823861625/5405770579968 |
j-invariant |
L |
13.705661688908 |
L(r)(E,1)/r! |
Ω |
0.38490262047052 |
Real period |
R |
1.1127539895218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34782o1 |
Quadratic twists by: -3 |