Atkin-Lehner |
3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10251d |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2673066351771 = -1 · 33 · 173 · 674 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 -5 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24027,-1435656] |
[a1,a2,a3,a4,a6] |
Generators |
[329:5125:1] |
Generators of the group modulo torsion |
j |
-56814422047469568/99002457473 |
j-invariant |
L |
2.0479018610626 |
L(r)(E,1)/r! |
Ω |
0.19171200750308 |
Real period |
R |
0.44509076568701 |
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 |
10251b1 |
Quadratic twists by: -3 |