Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310d |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
1.840712488902E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2637548,1512905808] |
[a1,a2,a3,a4,a6] |
Generators |
[589:12518:1] |
Generators of the group modulo torsion |
j |
351998461459790089/31930200000000 |
j-invariant |
L |
4.041283152357 |
L(r)(E,1)/r! |
Ω |
0.17515363906518 |
Real period |
R |
3.8454650387479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999498905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310bz1 |
Quadratic twists by: -7 |