Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770y |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-19699675627520 = -1 · 216 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3431,225693] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:378:1] [139:1498:1] |
Generators of the group modulo torsion |
j |
-37966934881/167444480 |
j-invariant |
L |
9.6465526877847 |
L(r)(E,1)/r! |
Ω |
0.59608086070764 |
Real period |
R |
0.25286399158614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110f1 |
Quadratic twists by: -7 |