Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3700b |
Isogeny class |
Conductor |
3700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
5065300000000 = 28 · 58 · 373 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4533,-44063] |
[a1,a2,a3,a4,a6] |
j |
2575826944/1266325 |
j-invariant |
L |
1.2234258795932 |
L(r)(E,1)/r! |
Ω |
0.61171293979662 |
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 |
14800k1 59200w1 33300h1 740b1 |
Quadratic twists by: -4 8 -3 5 |