Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850dh |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-23182200000000 = -1 · 29 · 37 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,-230803] |
[a1,a2,a3,a4,a6] |
Generators |
[69:415:1] |
Generators of the group modulo torsion |
j |
1503815/81408 |
j-invariant |
L |
7.2443720951113 |
L(r)(E,1)/r! |
Ω |
0.32318106475517 |
Real period |
R |
0.41510797948508 |
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 |
7950ba1 23850s1 |
Quadratic twists by: -3 5 |