Atkin-Lehner |
2+ 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150o |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
104400000 |
Modular degree for the optimal curve |
Δ |
-2.7908367774966E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 6 13- -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1557805950,-34729445263500] |
[a1,a2,a3,a4,a6] |
Generators |
[4820918818763248109955:2838839254172952929028162:13693945987631125] |
Generators of the group modulo torsion |
j |
-42811825250421086575411825/28578168601564736913408 |
j-invariant |
L |
3.5620767311291 |
L(r)(E,1)/r! |
Ω |
0.011667556159957 |
Real period |
R |
30.529758608355 |
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 |
72150cv1 |
Quadratic twists by: 5 |