Atkin-Lehner |
2- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610x |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-1997435027500000 = -1 · 25 · 57 · 117 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31155,-376463] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1159:8] [54:1183:1] |
Generators of the group modulo torsion |
j |
1887773984279/1127500000 |
j-invariant |
L |
9.7860134308746 |
L(r)(E,1)/r! |
Ω |
0.27197872493886 |
Real period |
R |
0.25700574907294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510c1 |
Quadratic twists by: -11 |