Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050u |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-88750411776000 = -1 · 215 · 35 · 53 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 5 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5360,-480000] |
[a1,a2,a3,a4,a6] |
j |
-136280796685181/710003294208 |
j-invariant |
L |
1.5080785340057 |
L(r)(E,1)/r! |
Ω |
0.2513464223324 |
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 |
111150fm1 37050cm1 |
Quadratic twists by: -3 5 |