Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290i |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-2.1625385102084E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4308530,3515282700] |
[a1,a2,a3,a4,a6] |
Generators |
[1368295:140066417:125] |
Generators of the group modulo torsion |
j |
-1022556447/25000 |
j-invariant |
L |
3.4043808503059 |
L(r)(E,1)/r! |
Ω |
0.17714265349422 |
Real period |
R |
9.6091505442358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bq1 59290cs1 |
Quadratic twists by: -7 -11 |