Atkin-Lehner |
2- 3+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818y |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
4027392 |
Modular degree for the optimal curve |
Δ |
-2.8428148208132E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1639087,-75750335] |
[a1,a2,a3,a4,a6] |
Generators |
[2239:120596:1] |
Generators of the group modulo torsion |
j |
24742221212646537237/14442995584073728 |
j-invariant |
L |
9.6596987518118 |
L(r)(E,1)/r! |
Ω |
0.1023015079518 |
Real period |
R |
0.31060465705995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818b1 |
Quadratic twists by: -3 |