Atkin-Lehner |
2- 3+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12702c |
Isogeny class |
Conductor |
12702 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1003968 |
Modular degree for the optimal curve |
Δ |
2.076668141676E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5976094,5175533147] |
[a1,a2,a3,a4,a6] |
j |
23603476655512262052969697/2076668141676007145472 |
j-invariant |
L |
2.0054163665761 |
L(r)(E,1)/r! |
Ω |
0.14324402618401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101616m1 38106e1 |
Quadratic twists by: -4 -3 |