Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120h |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4587520 |
Modular degree for the optimal curve |
Δ |
-5.6059644375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13117467,-18321632026] |
[a1,a2,a3,a4,a6] |
Generators |
[4750:162918:1] |
Generators of the group modulo torsion |
j |
-334384523143023864676/750970458984375 |
j-invariant |
L |
7.5059502380583 |
L(r)(E,1)/r! |
Ω |
0.039659627050297 |
Real period |
R |
6.7592579971216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040h1 |
Quadratic twists by: -3 |