Atkin-Lehner |
2+ 3- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230j |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9483264 |
Modular degree for the optimal curve |
Δ |
-2.0088816075E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5880105,-4048954979] |
[a1,a2,a3,a4,a6] |
Generators |
[1742:106265:1] [18318:2490841:1] |
Generators of the group modulo torsion |
j |
30842628730377587156879/27556675000000000000 |
j-invariant |
L |
7.6401155974868 |
L(r)(E,1)/r! |
Ω |
0.066798643021893 |
Real period |
R |
4.7656379753157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11470e1 |
Quadratic twists by: -3 |