Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715j |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
102789120 |
Modular degree for the optimal curve |
Δ |
-3.1239267708213E+28 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -6 -7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2084658303,-37609341061896] |
[a1,a2,a3,a4,a6] |
Generators |
[233199:110263437:1] |
Generators of the group modulo torsion |
j |
-238405627771890579460096/7433425555969921875 |
j-invariant |
L |
1.2022772325163 |
L(r)(E,1)/r! |
Ω |
0.011151003282308 |
Real period |
R |
3.3693079055782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905w1 50715bx1 |
Quadratic twists by: -3 -7 |