Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ce |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-154828800000000 = -1 · 221 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91500,10670000] |
[a1,a2,a3,a4,a6] |
Generators |
[184:252:1] |
Generators of the group modulo torsion |
j |
-30642435/56 |
j-invariant |
L |
7.4612975048438 |
L(r)(E,1)/r! |
Ω |
0.57722875013051 |
Real period |
R |
3.2315167506915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800kb1 3150bc1 100800cf2 100800b1 |
Quadratic twists by: -4 8 -3 5 |