Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094j |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-11920554939087648 = -1 · 25 · 39 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 5 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28362,4913684] |
[a1,a2,a3,a4,a6] |
Generators |
[4729:323026:1] |
Generators of the group modulo torsion |
j |
453789/2144 |
j-invariant |
L |
3.9421642100676 |
L(r)(E,1)/r! |
Ω |
0.2882635910214 |
Real period |
R |
6.8377768346447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bm1 59094c1 |
Quadratic twists by: -3 -7 |