Atkin-Lehner |
3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87975l |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-235090368984375 = -1 · 39 · 57 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15145,168022] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1721:1] |
Generators of the group modulo torsion |
j |
1249243533/764405 |
j-invariant |
L |
5.3248721944069 |
L(r)(E,1)/r! |
Ω |
0.34331958697698 |
Real period |
R |
3.8774893678091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87975b1 17595f1 |
Quadratic twists by: -3 5 |