Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34680bu |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
50225453575200000 = 28 · 32 · 55 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1487001,697356315] |
[a1,a2,a3,a4,a6] |
j |
203622820864/28125 |
j-invariant |
L |
4.1242674965271 |
L(r)(E,1)/r! |
Ω |
0.34368895804374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360k1 104040bl1 34680bj1 |
Quadratic twists by: -4 -3 17 |