Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520m |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-286813008691200 = -1 · 223 · 33 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8095,-767775] |
[a1,a2,a3,a4,a6] |
j |
223759095911/1094104800 |
j-invariant |
L |
1.1036448603919 |
L(r)(E,1)/r! |
Ω |
0.27591121510104 |
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 |
35520cv1 1110g1 106560bg1 |
Quadratic twists by: -4 8 -3 |