Atkin-Lehner |
2- 5- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11470d |
Isogeny class |
Conductor |
11470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-458800 = -1 · 24 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -2 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
371694959/458800 |
j-invariant |
L |
4.272197024199 |
L(r)(E,1)/r! |
Ω |
1.9858107059234 |
Real period |
R |
0.26892020796944 |
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 |
91760j1 103230g1 57350a1 |
Quadratic twists by: -4 -3 5 |