Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478t |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-11880501336 = -1 · 23 · 39 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5454,156492] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-12:1] |
Generators of the group modulo torsion |
j |
-3588604291/2376 |
j-invariant |
L |
6.0885785319838 |
L(r)(E,1)/r! |
Ω |
1.2579819234025 |
Real period |
R |
1.2099892730645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826bd1 71478ci1 |
Quadratic twists by: -3 -19 |