Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290el |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
122653440 |
Modular degree for the optimal curve |
Δ |
2.4165769559869E+29 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21483307700,1211752485764085] |
[a1,a2,a3,a4,a6] |
Generators |
[64653:9613793:1] |
Generators of the group modulo torsion |
j |
2191243533026687730409/482907687116800 |
j-invariant |
L |
9.1211669271589 |
L(r)(E,1)/r! |
Ω |
0.030421345931969 |
Real period |
R |
5.7659203074904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290cm1 5390t1 |
Quadratic twists by: -7 -11 |