Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400bv |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
3823592500000000 = 28 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40833,-1097963] |
[a1,a2,a3,a4,a6] |
j |
25600/13 |
j-invariant |
L |
1.4177005053262 |
L(r)(E,1)/r! |
Ω |
0.35442487661441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400s1 2600h1 |
Quadratic twists by: 5 -7 |