Atkin-Lehner |
2+ 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840o |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
678400 |
Modular degree for the optimal curve |
Δ |
-680666443084800 = -1 · 210 · 35 · 52 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275720,55831200] |
[a1,a2,a3,a4,a6] |
Generators |
[310:230:1] |
Generators of the group modulo torsion |
j |
-2263758740084697124/664713323325 |
j-invariant |
L |
5.4207487521066 |
L(r)(E,1)/r! |
Ω |
0.49874209382151 |
Real period |
R |
0.54344207291864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46920l1 |
Quadratic twists by: -4 |