Atkin-Lehner |
2+ 3- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410b |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-81508450037760 = -1 · 212 · 37 · 5 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10530,-127980] |
[a1,a2,a3,a4,a6] |
Generators |
[21:309:1] |
Generators of the group modulo torsion |
j |
177116123227679/111808573440 |
j-invariant |
L |
4.1098646009011 |
L(r)(E,1)/r! |
Ω |
0.34974529676164 |
Real period |
R |
1.4688777277871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bl1 |
Quadratic twists by: -3 |