Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310i |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3625171200 = 28 · 37 · 52 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3690,87156] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:366:1] |
Generators of the group modulo torsion |
j |
7623273198241/4972800 |
j-invariant |
L |
3.0460441603638 |
L(r)(E,1)/r! |
Ω |
1.3885231365641 |
Real period |
R |
0.54843237396482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770bb1 116550es1 |
Quadratic twists by: -3 5 |