Atkin-Lehner |
2- 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970t |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
2494464 |
Modular degree for the optimal curve |
Δ |
-1.1784039080676E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12853066,24234193700] |
[a1,a2,a3,a4,a6] |
j |
-234824781624528595037627809/117840390806757703680000 |
j-invariant |
L |
5.475601102824 |
L(r)(E,1)/r! |
Ω |
0.097778591121856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71910l1 119850d1 |
Quadratic twists by: -3 5 |