Atkin-Lehner |
3- 5+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185n |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
12611665828125 = 36 · 56 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 3 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5823,7553] |
[a1,a2,a3,a4,a6] |
j |
29952739823616/17299953125 |
j-invariant |
L |
2.41561928525 |
L(r)(E,1)/r! |
Ω |
0.60390481177919 |
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 |
10465e1 |
Quadratic twists by: -3 |