Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850bh |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-159981328125000 = -1 · 23 · 36 · 510 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11133,404541] |
[a1,a2,a3,a4,a6] |
Generators |
[43:959:1] |
Generators of the group modulo torsion |
j |
21434375/22472 |
j-invariant |
L |
2.2927229629056 |
L(r)(E,1)/r! |
Ω |
0.38061521477878 |
Real period |
R |
3.0118645733042 |
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 |
2650g1 23850cz1 |
Quadratic twists by: -3 5 |