Atkin-Lehner |
2+ 3+ 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010d |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
17573760 |
Modular degree for the optimal curve |
Δ |
-3.2069824758106E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10455330,-272770232940] |
[a1,a2,a3,a4,a6] |
Generators |
[156897749588336436:7717901514895262481:19569494883392] |
Generators of the group modulo torsion |
j |
-4681372570560588112760187/1187771287337252651171840 |
j-invariant |
L |
4.2436557397117 |
L(r)(E,1)/r! |
Ω |
0.029393772990325 |
Real period |
R |
24.062101753709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62010bf2 |
Quadratic twists by: -3 |