Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200ha |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
7879680 |
Modular degree for the optimal curve |
Δ |
-3.2994938367375E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132712,-8739339372] |
[a1,a2,a3,a4,a6] |
Generators |
[2614:97344:1] |
Generators of the group modulo torsion |
j |
504871739064883/64443238998780096 |
j-invariant |
L |
8.3037790118938 |
L(r)(E,1)/r! |
Ω |
0.053683602406295 |
Real period |
R |
0.85933326878153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650u1 109200et1 |
Quadratic twists by: -4 5 |