Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010b |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
704871849600000 = 210 · 39 · 55 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49020,-3965104] |
[a1,a2,a3,a4,a6] |
Generators |
[371:5182:1] |
Generators of the group modulo torsion |
j |
661846572125523/35811200000 |
j-invariant |
L |
3.0499666339844 |
L(r)(E,1)/r! |
Ω |
0.32193387784373 |
Real period |
R |
4.7369457578886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010bi1 |
Quadratic twists by: -3 |