Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224t |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1597776897024 = 210 · 36 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15064,704036] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:924:1] |
Generators of the group modulo torsion |
j |
369210043216228/1560329001 |
j-invariant |
L |
6.4003942745535 |
L(r)(E,1)/r! |
Ω |
0.84869168021051 |
Real period |
R |
0.62845695557796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995628 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112p2 |
Quadratic twists by: -4 |