Atkin-Lehner |
2- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470g |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-2.0135578400202E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20121361,-40903914059] |
[a1,a2,a3,a4,a6] |
Generators |
[3317750171918035977085874242213026386516903346:719408958958490449327951436648505241517531869675:69591123110675913361037882171081710988347] |
Generators of the group modulo torsion |
j |
-7657861932846873135361/1711495924334451500 |
j-invariant |
L |
10.035439047388 |
L(r)(E,1)/r! |
Ω |
0.035222068372749 |
Real period |
R |
71.229768090171 |
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 |
7210k1 |
Quadratic twists by: -7 |