Atkin-Lehner |
2- 3- 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bg |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-73296777204 = -1 · 22 · 36 · 74 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1039,-2091] |
[a1,a2,a3,a4,a6] |
Generators |
[438:3501:8] |
Generators of the group modulo torsion |
j |
170307838007/100544276 |
j-invariant |
L |
11.620958487213 |
L(r)(E,1)/r! |
Ω |
0.64003795219107 |
Real period |
R |
2.2695838674322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7714b1 |
Quadratic twists by: -3 |