Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850x |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
-1.9202074358004E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58131333,-123897391259] |
[a1,a2,a3,a4,a6] |
Generators |
[253889:127858118:1] |
Generators of the group modulo torsion |
j |
1907247257179943046551/1685778818809651200 |
j-invariant |
L |
3.7961998730764 |
L(r)(E,1)/r! |
Ω |
0.037742659844669 |
Real period |
R |
2.5145285790004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950bb1 4770ba1 |
Quadratic twists by: -3 5 |