Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810i |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-17212704768000000 = -1 · 217 · 39 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1779,-6311421] |
[a1,a2,a3,a4,a6] |
Generators |
[279:3860:1] |
Generators of the group modulo torsion |
j |
622638969431471/17212704768000000 |
j-invariant |
L |
5.5591869177438 |
L(r)(E,1)/r! |
Ω |
0.17960311475736 |
Real period |
R |
0.91037116923943 |
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 |
102480ca1 38430s1 64050z1 89670ck1 |
Quadratic twists by: -4 -3 5 -7 |