Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600a |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1323283200 = -1 · 28 · 3 · 52 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 5 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1188,-15468] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8598:1] |
Generators of the group modulo torsion |
j |
-28997367760/206763 |
j-invariant |
L |
4.9483786229277 |
L(r)(E,1)/r! |
Ω |
0.40639655740584 |
Real period |
R |
6.0881158227752 |
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 |
49200u1 73800ci1 24600bh1 |
Quadratic twists by: -4 -3 5 |