Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830t |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-974700 = -1 · 22 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 6 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,-111] |
[a1,a2,a3,a4,a6] |
Generators |
[9:15:1] |
Generators of the group modulo torsion |
j |
-14317849/2700 |
j-invariant |
L |
5.4511345632743 |
L(r)(E,1)/r! |
Ω |
0.96453230989724 |
Real period |
R |
1.4128957908769 |
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 |
86640dh1 32490v1 54150v1 10830i1 |
Quadratic twists by: -4 -3 5 -19 |