Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41300h |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
567216 |
Modular degree for the optimal curve |
Δ |
-134908258090706800 = -1 · 24 · 52 · 713 · 592 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1400558,638681057] |
[a1,a2,a3,a4,a6] |
Generators |
[1768:60711:1] |
Generators of the group modulo torsion |
j |
-759569165881082080000/337270645226767 |
j-invariant |
L |
8.6283036519865 |
L(r)(E,1)/r! |
Ω |
0.32307924287374 |
Real period |
R |
0.34239054358821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300k1 |
Quadratic twists by: 5 |