Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245b |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2274574863687890625 = -1 · 38 · 58 · 316 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,302535,-34177950] |
[a1,a2,a3,a4,a6] |
Generators |
[88042758484980:-2775148968191865:182091437632] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
5.7295588618729 |
L(r)(E,1)/r! |
Ω |
0.14523576983914 |
Real period |
R |
19.725026652254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415g6 45a6 |
Quadratic twists by: -3 -31 |