Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30744b |
Isogeny class |
Conductor |
30744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-717196032 = -1 · 28 · 38 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-1276] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
128000/3843 |
j-invariant |
L |
5.8421123225084 |
L(r)(E,1)/r! |
Ω |
0.77472518069246 |
Real period |
R |
0.94261043594947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61488a1 10248d1 |
Quadratic twists by: -4 -3 |