Atkin-Lehner |
2+ 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11730b |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-30028800 = -1 · 210 · 3 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 3 -7 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23,-251] |
[a1,a2,a3,a4,a6] |
Generators |
[18:71:1] |
Generators of the group modulo torsion |
j |
1256216039/30028800 |
j-invariant |
L |
2.3716969687234 |
L(r)(E,1)/r! |
Ω |
1.0132555266487 |
Real period |
R |
0.58516753828318 |
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 |
93840cg1 35190bm1 58650cb1 |
Quadratic twists by: -4 -3 5 |