Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bl |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
1.25728607025E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20658567,36140450726] |
[a1,a2,a3,a4,a6] |
Generators |
[2597:2320:1] |
Generators of the group modulo torsion |
j |
5224645130090610708304/67370009765625 |
j-invariant |
L |
7.9750021395151 |
L(r)(E,1)/r! |
Ω |
0.20474574187837 |
Real period |
R |
3.895075962184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999548781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960bd1 38640e1 |
Quadratic twists by: -4 -3 |