Atkin-Lehner |
7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67081g |
Isogeny class |
Conductor |
67081 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3836160 |
Modular degree for the optimal curve |
Δ |
-5.2444249727268E+21 |
Discriminant |
Eigenvalues |
0 -2 3 7- 3 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3309329,-4185497256] |
[a1,a2,a3,a4,a6] |
Generators |
[373600378608:2068802898669:163667323] |
Generators of the group modulo torsion |
j |
-262144/343 |
j-invariant |
L |
5.1007688129485 |
L(r)(E,1)/r! |
Ω |
0.053367628677258 |
Real period |
R |
11.947244376819 |
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 |
9583b1 67081h1 |
Quadratic twists by: -7 37 |