Atkin-Lehner |
2+ 3+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118b |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-6.89879370676E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12981985,18042505153] |
[a1,a2,a3,a4,a6] |
Generators |
[1767:-25870:1] [1456:46495:1] |
Generators of the group modulo torsion |
j |
-241961948602123102303497625/689879370675999260988 |
j-invariant |
L |
6.1043586700495 |
L(r)(E,1)/r! |
Ω |
0.16162087714436 |
Real period |
R |
2.6978298038796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354bv1 |
Quadratic twists by: -3 |