Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600o |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-167532176000000 = -1 · 210 · 56 · 76 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -4 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71408,7394812] |
[a1,a2,a3,a4,a6] |
Generators |
[86:1372:1] |
Generators of the group modulo torsion |
j |
-2516809936036/10470761 |
j-invariant |
L |
2.5502810141286 |
L(r)(E,1)/r! |
Ω |
0.57590506602245 |
Real period |
R |
1.107075269366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999597866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4984b1 |
Quadratic twists by: 5 |