Atkin-Lehner |
2- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
69350i |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-866875000 = -1 · 23 · 57 · 19 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,37,1417] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:29:1] |
Generators of the group modulo torsion |
j |
357911/55480 |
j-invariant |
L |
6.0760511657172 |
L(r)(E,1)/r! |
Ω |
1.2175282043847 |
Real period |
R |
0.83174680529508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13870b1 |
Quadratic twists by: 5 |