Atkin-Lehner |
2- 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bo |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-752840704000000 = -1 · 218 · 56 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27913,2225817] |
[a1,a2,a3,a4,a6] |
Generators |
[202:-2301:1] [82:-741:1] |
Generators of the group modulo torsion |
j |
-153930331718857/48181805056 |
j-invariant |
L |
12.008022100661 |
L(r)(E,1)/r! |
Ω |
0.47826403816213 |
Real period |
R |
0.34871550309016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774d1 |
Quadratic twists by: 5 |