Atkin-Lehner |
2+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112l |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-12013813800894464 = -1 · 239 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3 -1 3 -6 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34828,-5836816] |
[a1,a2,a3,a4,a6] |
Generators |
[8879010:454197248:3375] |
Generators of the group modulo torsion |
j |
-17822531769561/45829062656 |
j-invariant |
L |
9.9109010893742 |
L(r)(E,1)/r! |
Ω |
0.16257266645024 |
Real period |
R |
7.620362409144 |
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 |
34112v1 1066c1 |
Quadratic twists by: -4 8 |