Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240bz |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
-2525918805556151040 = -1 · 28 · 36 · 5 · 711 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -7 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17628,76460596] |
[a1,a2,a3,a4,a6] |
Generators |
[3876:241610:1] |
Generators of the group modulo torsion |
j |
3246125782016/13534801555835 |
j-invariant |
L |
4.7155956877797 |
L(r)(E,1)/r! |
Ω |
0.20213290297892 |
Real period |
R |
5.8322960016911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10360b1 |
Quadratic twists by: -3 |