Atkin-Lehner |
7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105413a |
Isogeny class |
Conductor |
105413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
204336 |
Modular degree for the optimal curve |
Δ |
-1382926534451 = -1 · 72 · 11 · 376 |
Discriminant |
Eigenvalues |
0 -3 1 7+ 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2738,12663] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:66:1] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
3.164070615131 |
L(r)(E,1)/r! |
Ω |
0.52604081544475 |
Real period |
R |
3.0074382809521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77a1 |
Quadratic twists by: 37 |