Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12138s |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-3535945056 = -1 · 25 · 33 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 1 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,283,2315] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-256:1] |
Generators of the group modulo torsion |
j |
30004847/42336 |
j-invariant |
L |
4.7245608937481 |
L(r)(E,1)/r! |
Ω |
0.95082976942324 |
Real period |
R |
0.16562939885703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104cz1 36414bc1 84966ed1 12138bc1 |
Quadratic twists by: -4 -3 -7 17 |