Atkin-Lehner |
2- 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390ba |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9633792 |
Modular degree for the optimal curve |
Δ |
2.8723329E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30007388,-63208847969] |
[a1,a2,a3,a4,a6] |
Generators |
[-3197:8015:1] |
Generators of the group modulo torsion |
j |
4099026742031792121198201/3940100000000000000 |
j-invariant |
L |
6.5439738330143 |
L(r)(E,1)/r! |
Ω |
0.064508593059011 |
Real period |
R |
3.6229801269896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710e1 |
Quadratic twists by: -3 |