Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800cv |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
3.27520882997E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1733000,833817500] |
[a1,a2,a3,a4,a6] |
Generators |
[454:11858:1] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
5.3886104522338 |
L(r)(E,1)/r! |
Ω |
0.20449508153208 |
Real period |
R |
0.37644010183956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7700i1 123200hh1 30800bf1 |
Quadratic twists by: -4 8 5 |