Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bi |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
5653034450000 = 24 · 55 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51548,4503247] |
[a1,a2,a3,a4,a6] |
Generators |
[1788633:25779488:24389] |
Generators of the group modulo torsion |
j |
8047314026496/3003125 |
j-invariant |
L |
7.1265146779717 |
L(r)(E,1)/r! |
Ω |
0.74638878423853 |
Real period |
R |
9.5479927509351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30380b1 2480n1 |
Quadratic twists by: -4 -7 |