Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290q |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-6103483058750 = -1 · 2 · 54 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-334303,74258507] |
[a1,a2,a3,a4,a6] |
Generators |
[461:4057:1] |
Generators of the group modulo torsion |
j |
-846211325047/1250 |
j-invariant |
L |
2.378949422694 |
L(r)(E,1)/r! |
Ω |
0.64252318261272 |
Real period |
R |
0.92562785569443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bu1 59290db1 |
Quadratic twists by: -7 -11 |