Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430o |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-453712439340 = -1 · 22 · 316 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1836,-12020] |
[a1,a2,a3,a4,a6] |
Generators |
[20:170:1] |
Generators of the group modulo torsion |
j |
938601300671/622376460 |
j-invariant |
L |
5.3939747830332 |
L(r)(E,1)/r! |
Ω |
0.53398307875575 |
Real period |
R |
2.5253491157384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810o1 |
Quadratic twists by: -3 |