Atkin-Lehner |
3- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
118041g |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
-8.8049691468997E+20 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11+ -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7459825,7968660802] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:12028:1] |
Generators of the group modulo torsion |
j |
-390230714139735752704/7484100287210019 |
j-invariant |
L |
6.4707837520485 |
L(r)(E,1)/r! |
Ω |
0.15794480943925 |
Real period |
R |
0.40968638212588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409b1 |
Quadratic twists by: -7 |