Atkin-Lehner |
2+ 3+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882h |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
629760 |
Modular degree for the optimal curve |
Δ |
256624567753198788 = 22 · 38 · 1110 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-158898,-640800] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:4530:1] |
Generators of the group modulo torsion |
j |
443693713490687867689/256624567753198788 |
j-invariant |
L |
3.7525346261243 |
L(r)(E,1)/r! |
Ω |
0.26185237191408 |
Real period |
R |
1.4330726121342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646br1 |
Quadratic twists by: -3 |