Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3102j |
Isogeny class |
Conductor |
3102 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-16080768 = -1 · 27 · 35 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-308,2064] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-44:1] |
Generators of the group modulo torsion |
j |
-3231945186625/16080768 |
j-invariant |
L |
5.322063614022 |
L(r)(E,1)/r! |
Ω |
2.2147608181991 |
Real period |
R |
0.068657057299883 |
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 |
24816q1 99264h1 9306g1 77550b1 |
Quadratic twists by: -4 8 -3 5 |