Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700h |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
1481250000 = 24 · 3 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,75162] |
[a1,a2,a3,a4,a6] |
Generators |
[38:44:1] |
Generators of the group modulo torsion |
j |
655360000/237 |
j-invariant |
L |
4.2404622198008 |
L(r)(E,1)/r! |
Ω |
1.4832687912499 |
Real period |
R |
2.8588629686111 |
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 |
94800dj1 71100u1 23700j1 |
Quadratic twists by: -4 -3 5 |