Atkin-Lehner |
3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10251m |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-434097877131 = -1 · 39 · 173 · 672 |
Discriminant |
Eigenvalues |
-2 3- 1 -2 -5 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1677,41274] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-230:1] [-36:234:1] |
Generators of the group modulo torsion |
j |
-715476496384/595470339 |
j-invariant |
L |
3.2596230811964 |
L(r)(E,1)/r! |
Ω |
0.86251452520713 |
Real period |
R |
0.15746706219299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417e1 |
Quadratic twists by: -3 |