Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7308a |
Isogeny class |
Conductor |
7308 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1617250200352319232 = 28 · 312 · 75 · 294 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-738615,-236544082] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:2790:1] |
Generators of the group modulo torsion |
j |
238786949809042000/8665821118143 |
j-invariant |
L |
4.031537354821 |
L(r)(E,1)/r! |
Ω |
0.16321617257385 |
Real period |
R |
4.1167666284182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29232bj2 116928bg2 2436a2 51156k2 |
Quadratic twists by: -4 8 -3 -7 |