Atkin-Lehner |
2- 3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bf |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-4.2728416949814E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6849454,-7164261039] |
[a1,a2,a3,a4,a6] |
j |
48748819502111004796967/58612368929785380864 |
j-invariant |
L |
2.4516744633279 |
L(r)(E,1)/r! |
Ω |
0.061291861567015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17094c1 |
Quadratic twists by: -3 |