Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120n |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.6627567359375E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6473127,6635633146] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:17500:1] |
Generators of the group modulo torsion |
j |
-160730613290050429264/8909661865234375 |
j-invariant |
L |
7.2455172302049 |
L(r)(E,1)/r! |
Ω |
0.14775736448572 |
Real period |
R |
1.7513067682981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680k1 |
Quadratic twists by: -3 |