Atkin-Lehner |
2- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350y |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-19527258291200 = -1 · 210 · 52 · 11 · 375 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4622,-172929] |
[a1,a2,a3,a4,a6] |
j |
436784938384055/781090331648 |
j-invariant |
L |
0.71889996055543 |
L(r)(E,1)/r! |
Ω |
0.35944998027771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
20350m2 |
Quadratic twists by: 5 |