Atkin-Lehner |
5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255j |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
2035322185203125 = 56 · 77 · 13 · 233 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -3 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31703,95954] |
[a1,a2,a3,a4,a6] |
Generators |
[6573:-70451:27] [-154:1151:1] |
Generators of the group modulo torsion |
j |
29952739823616/17299953125 |
j-invariant |
L |
4.920933032259 |
L(r)(E,1)/r! |
Ω |
0.39534850178946 |
Real period |
R |
0.51862818604774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465e1 |
Quadratic twists by: -7 |