Atkin-Lehner |
2- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10234n |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-586858496 = -1 · 214 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 1 7- -4 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165,1409] |
[a1,a2,a3,a4,a6] |
Generators |
[10:23:1] |
Generators of the group modulo torsion |
j |
-496981290961/586858496 |
j-invariant |
L |
8.0973521931098 |
L(r)(E,1)/r! |
Ω |
1.4784818043419 |
Real period |
R |
0.19560007360567 |
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 |
81872u1 92106s1 71638o1 |
Quadratic twists by: -4 -3 -7 |