Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150bp |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-19136250 = -1 · 2 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39380,3017697] |
[a1,a2,a3,a4,a6] |
j |
-14822892630025/42 |
j-invariant |
L |
2.868416307961 |
L(r)(E,1)/r! |
Ω |
1.4342081539805 |
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 |
25200fn1 100800gl1 1050d1 3150n2 |
Quadratic twists by: -4 8 -3 5 |