Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380t |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-316004783118750000 = -1 · 24 · 314 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,158388,11951341] |
[a1,a2,a3,a4,a6] |
Generators |
[887:29160:1] |
Generators of the group modulo torsion |
j |
37674112116310016/27092316796875 |
j-invariant |
L |
7.2350754993218 |
L(r)(E,1)/r! |
Ω |
0.19424484334333 |
Real period |
R |
2.3279496687026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460g1 |
Quadratic twists by: -3 |