Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300f |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3696300000000 = -1 · 28 · 33 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3000,-67500] |
[a1,a2,a3,a4,a6] |
Generators |
[21:69:1] |
Generators of the group modulo torsion |
j |
1105920/1369 |
j-invariant |
L |
6.1297866705702 |
L(r)(E,1)/r! |
Ω |
0.42183047836171 |
Real period |
R |
3.6328495598379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33300e1 33300d1 |
Quadratic twists by: -3 5 |