Atkin-Lehner |
2- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280g |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-61067062292480 = -1 · 212 · 5 · 375 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -4 -1 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3392,-368208] |
[a1,a2,a3,a4,a6] |
Generators |
[58354119:760830873:357911] |
Generators of the group modulo torsion |
j |
1053734731776/14908950755 |
j-invariant |
L |
4.2376986637235 |
L(r)(E,1)/r! |
Ω |
0.30517946743048 |
Real period |
R |
13.885923235711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955a1 |
Quadratic twists by: -4 |