Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
113760n |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12124160 |
Modular degree for the optimal curve |
Δ |
1.4374770831056E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117018993,487225045208] |
[a1,a2,a3,a4,a6] |
Generators |
[941956540:125152362322:42875] |
Generators of the group modulo torsion |
j |
3798265154738969175212224/30810122666015625 |
j-invariant |
L |
7.4520118454493 |
L(r)(E,1)/r! |
Ω |
0.13610301712539 |
Real period |
R |
13.68818265049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019684 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113760k1 37920n1 |
Quadratic twists by: -4 -3 |