Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2738b |
Isogeny class |
Conductor |
2738 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-224798685050944 = -1 · 26 · 378 |
Discriminant |
Eigenvalues |
2+ -2 3 -4 -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64372,6322098] |
[a1,a2,a3,a4,a6] |
Generators |
[124:438:1] |
Generators of the group modulo torsion |
j |
-8398297/64 |
j-invariant |
L |
1.7683455207047 |
L(r)(E,1)/r! |
Ω |
0.56217746489443 |
Real period |
R |
4.7182935046234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21904i1 87616l1 24642t1 68450z1 |
Quadratic twists by: -4 8 -3 5 |