Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200dt |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-1291204800000000 = -1 · 212 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75333,8118963] |
[a1,a2,a3,a4,a6] |
j |
-29550530560/807003 |
j-invariant |
L |
4.3388268666883 |
L(r)(E,1)/r! |
Ω |
0.48209187406303 |
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 |
3075e1 49200br1 |
Quadratic twists by: -4 5 |