Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440n |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1365814804480 = 219 · 5 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 -1 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5601,149375] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:49:1] [19:224:1] |
Generators of the group modulo torsion |
j |
74140932601/5210170 |
j-invariant |
L |
11.35663714847 |
L(r)(E,1)/r! |
Ω |
0.8388205244152 |
Real period |
R |
0.67694082452046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440ck1 2170e1 |
Quadratic twists by: -4 8 |