Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10360d |
Isogeny class |
Conductor |
10360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3680 |
Modular degree for the optimal curve |
Δ |
-12950000 = -1 · 24 · 55 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -4 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-89] |
[a1,a2,a3,a4,a6] |
Generators |
[7:25:1] |
Generators of the group modulo torsion |
j |
1029037824/809375 |
j-invariant |
L |
2.4896722175537 |
L(r)(E,1)/r! |
Ω |
1.2479926678901 |
Real period |
R |
0.19949413819577 |
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 |
20720g1 82880f1 93240bm1 51800o1 |
Quadratic twists by: -4 8 -3 5 |