Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1456h |
Isogeny class |
Conductor |
1456 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-372736 = -1 · 212 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 0 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,-451] |
[a1,a2,a3,a4,a6] |
Generators |
[68:549:1] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
3.1205641816132 |
L(r)(E,1)/r! |
Ω |
0.72520353064688 |
Real period |
R |
4.3030184627337 |
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 |
91b1 5824s1 13104bx1 36400bz1 |
Quadratic twists by: -4 8 -3 5 |