Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3610a |
Isogeny class |
Conductor |
3610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30096 |
Modular degree for the optimal curve |
Δ |
-21738960692480000 = -1 · 211 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,55587,-4964483] |
[a1,a2,a3,a4,a6] |
Generators |
[721:19902:1] |
Generators of the group modulo torsion |
j |
1118413511/1280000 |
j-invariant |
L |
2.115879092361 |
L(r)(E,1)/r! |
Ω |
0.20574780751913 |
Real period |
R |
5.1419237897936 |
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 |
28880p1 115520s1 32490bs1 18050n1 |
Quadratic twists by: -4 8 -3 5 |