Atkin-Lehner |
2+ 3- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818h |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14273280 |
Modular degree for the optimal curve |
Δ |
-1.1134887653971E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72172962,236071507860] |
[a1,a2,a3,a4,a6] |
Generators |
[180:472230:1] |
Generators of the group modulo torsion |
j |
-57032154066894924558894625/15274194312717139968 |
j-invariant |
L |
3.1862992746112 |
L(r)(E,1)/r! |
Ω |
0.12475234181775 |
Real period |
R |
2.1284164796962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39606q1 |
Quadratic twists by: -3 |