Atkin-Lehner |
2+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952h |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
9119249344 = 26 · 172 · 793 |
Discriminant |
Eigenvalues |
2+ -3 -3 -1 2 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1219,15724] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:1343:8] [-8:158:1] |
Generators of the group modulo torsion |
j |
3130075801152/142488271 |
j-invariant |
L |
5.7415258946376 |
L(r)(E,1)/r! |
Ω |
1.284710430556 |
Real period |
R |
0.74485343907798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952c1 42976b1 |
Quadratic twists by: -4 8 |