Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
12104a |
Isogeny class |
Conductor |
12104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37135375665152 = 211 · 172 · 894 |
Discriminant |
Eigenvalues |
2- 2 0 4 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44928,-3638740] |
[a1,a2,a3,a4,a6] |
Generators |
[15868699:1732349934:1331] |
Generators of the group modulo torsion |
j |
4897277172373250/18132507649 |
j-invariant |
L |
7.101511358954 |
L(r)(E,1)/r! |
Ω |
0.3279942157199 |
Real period |
R |
10.825665543167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24208a2 96832c2 108936i2 |
Quadratic twists by: -4 8 -3 |