Atkin-Lehner |
2- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448h |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-78420451373824 = -1 · 28 · 73 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 2 3 7+ -3 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9291,-253543] |
[a1,a2,a3,a4,a6] |
Generators |
[42805:819366:125] |
Generators of the group modulo torsion |
j |
346437090541568/306329888179 |
j-invariant |
L |
11.415584069165 |
L(r)(E,1)/r! |
Ω |
0.33565504812855 |
Real period |
R |
8.5024671405052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17612d2 |
Quadratic twists by: -4 |