Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816m |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-55575134208 = -1 · 214 · 38 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11- 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,952,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[41:324:1] |
Generators of the group modulo torsion |
j |
23271176375/13568148 |
j-invariant |
L |
5.0162018657418 |
L(r)(E,1)/r! |
Ω |
0.65967619249065 |
Real period |
R |
1.9010091325271 |
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 |
3102d1 99264bv1 74448z1 |
Quadratic twists by: -4 8 -3 |