Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544w |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
-1037130277497864192 = -1 · 220 · 319 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44205,48866834] |
[a1,a2,a3,a4,a6] |
Generators |
[671:19510:1] |
Generators of the group modulo torsion |
j |
3199266515375/347332831488 |
j-invariant |
L |
5.2544371503739 |
L(r)(E,1)/r! |
Ω |
0.2124679873427 |
Real period |
R |
6.1826222013902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999388236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15318f1 40848c1 |
Quadratic twists by: -4 -3 |