Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312r |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-7.3533389460458E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2906218,-41302279504] |
[a1,a2,a3,a4,a6] |
Generators |
[2646413665:18690901476:704969] |
Generators of the group modulo torsion |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
8.1230876548927 |
L(r)(E,1)/r! |
Ω |
0.040284239418158 |
Real period |
R |
16.803692481384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312be1 7392n1 |
Quadratic twists by: -4 -11 |