Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420t |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-109444499694731520 = -1 · 28 · 315 · 5 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-230460,45384228] |
[a1,a2,a3,a4,a6] |
Generators |
[228:2178:1] |
Generators of the group modulo torsion |
j |
-5287766924112949456/427517576932545 |
j-invariant |
L |
6.1835882688551 |
L(r)(E,1)/r! |
Ω |
0.3272509888651 |
Real period |
R |
0.083980233714661 |
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 |
97680bo1 73260n1 122100m1 |
Quadratic twists by: -4 -3 5 |