Atkin-Lehner |
2- 3- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230ba |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
2301696 |
Modular degree for the optimal curve |
Δ |
-1498122462387847680 = -1 · 29 · 315 · 5 · 313 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25807,-58873503] |
[a1,a2,a3,a4,a6] |
Generators |
[2015:-91404:1] |
Generators of the group modulo torsion |
j |
2607501253848119/2055037671313920 |
j-invariant |
L |
12.964573650152 |
L(r)(E,1)/r! |
Ω |
0.12528186302231 |
Real period |
R |
0.4790890944267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34410e1 |
Quadratic twists by: -3 |