Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130h |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10343424 |
Modular degree for the optimal curve |
Δ |
7.1631258884506E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17964748,-29030793392] |
[a1,a2,a3,a4,a6] |
Generators |
[61732678887148907:-407601660029050994938:1416247867] |
Generators of the group modulo torsion |
j |
5450030069291210725561/60885565440000000 |
j-invariant |
L |
4.2148982211899 |
L(r)(E,1)/r! |
Ω |
0.073381647141123 |
Real period |
R |
28.71902170619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590l1 |
Quadratic twists by: -7 |