Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800ce |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5087232 |
Modular degree for the optimal curve |
Δ |
-5521717329920000000 = -1 · 235 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 11- 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14734075,21768990250] |
[a1,a2,a3,a4,a6] |
Generators |
[2215:-550:1] |
Generators of the group modulo torsion |
j |
-5527291469021688969/86276833280 |
j-invariant |
L |
3.870565384202 |
L(r)(E,1)/r! |
Ω |
0.22045373841719 |
Real period |
R |
2.1946585103837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350v1 14960l1 |
Quadratic twists by: -4 5 |