Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30324c |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-265675240980912 = -1 · 24 · 3 · 76 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40913,3294018] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-343:1] [-101:2527:1] |
Generators of the group modulo torsion |
j |
-10061824000/352947 |
j-invariant |
L |
7.2388204279272 |
L(r)(E,1)/r! |
Ω |
0.54827565592308 |
Real period |
R |
0.73349361055131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296cm3 90972i3 84a3 |
Quadratic twists by: -4 -3 -19 |