Atkin-Lehner |
2- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700c |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-458800 = -1 · 24 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -6 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,42] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] [-6:57:8] |
Generators of the group modulo torsion |
j |
-655360/1147 |
j-invariant |
L |
15.429649092236 |
L(r)(E,1)/r! |
Ω |
2.6497173388326 |
Real period |
R |
5.8231302131719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114700r1 |
Quadratic twists by: 5 |