Atkin-Lehner |
2+ 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850j |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-233392929687500000 = -1 · 25 · 513 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11- -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-547525,-157889875] |
[a1,a2,a3,a4,a6] |
Generators |
[37785:-1170455:27] |
Generators of the group modulo torsion |
j |
-1161760983451591249/14937147500000 |
j-invariant |
L |
3.3278903347396 |
L(r)(E,1)/r! |
Ω |
0.087687185149004 |
Real period |
R |
1.5813268158309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370c1 |
Quadratic twists by: 5 |