Atkin-Lehner |
2+ 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15318b |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
5882112 = 28 · 33 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] [-3:3:1] |
Generators of the group modulo torsion |
j |
1356572043/217856 |
j-invariant |
L |
3.9712455502717 |
L(r)(E,1)/r! |
Ω |
1.6733334564901 |
Real period |
R |
2.3732541382406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544o1 15318h1 |
Quadratic twists by: -4 -3 |