Atkin-Lehner |
2+ 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150h |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-783593750 = -1 · 2 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 2 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,100,-1250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-70:1] [150:625:8] |
Generators of the group modulo torsion |
j |
6967871/50150 |
j-invariant |
L |
6.3240424753178 |
L(r)(E,1)/r! |
Ω |
0.79322571758774 |
Real period |
R |
1.9931408976983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030k1 |
Quadratic twists by: 5 |