Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800m |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
155495700000000 = 28 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 -1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424708,106672912] |
[a1,a2,a3,a4,a6] |
Generators |
[47520:14108:125] |
Generators of the group modulo torsion |
j |
84721972724560/1554957 |
j-invariant |
L |
7.0597157861224 |
L(r)(E,1)/r! |
Ω |
0.5302062881606 |
Real period |
R |
6.6575179751462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47400j1 94800u1 |
Quadratic twists by: -4 5 |