Atkin-Lehner |
5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
110515c |
Isogeny class |
Conductor |
110515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-72770864323595 = -1 · 5 · 232 · 317 |
Discriminant |
Eigenvalues |
-2 1 5+ -4 0 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3524,-401280] |
[a1,a2,a3,a4,a6] |
Generators |
[72:480:1] |
Generators of the group modulo torsion |
j |
5451776/81995 |
j-invariant |
L |
1.7175077410128 |
L(r)(E,1)/r! |
Ω |
0.30035816437113 |
Real period |
R |
1.4295497130287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3565b1 |
Quadratic twists by: -31 |