Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dp |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1313427737376562500 = 22 · 310 · 58 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-477230,-114168103] |
[a1,a2,a3,a4,a6] |
Generators |
[-3138:29915:8] |
Generators of the group modulo torsion |
j |
1055257664218129/115307784900 |
j-invariant |
L |
9.4799043423702 |
L(r)(E,1)/r! |
Ω |
0.1829301763406 |
Real period |
R |
2.159272035741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550z2 6930m2 |
Quadratic twists by: -3 5 |