Atkin-Lehner |
2- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7420d |
Isogeny class |
Conductor |
7420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-16620800 = -1 · 28 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 4 -3 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1380,20200] |
[a1,a2,a3,a4,a6] |
Generators |
[30:70:1] |
Generators of the group modulo torsion |
j |
-1136150003536/64925 |
j-invariant |
L |
3.5204238636522 |
L(r)(E,1)/r! |
Ω |
2.0790211448031 |
Real period |
R |
0.14110902913983 |
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 |
29680k1 118720c1 66780h1 37100j1 |
Quadratic twists by: -4 8 -3 5 |