Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bi |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-5765019999375000 = -1 · 23 · 3 · 57 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172750,-27948500] |
[a1,a2,a3,a4,a6] |
Generators |
[4515:299830:1] |
Generators of the group modulo torsion |
j |
-744673162316209/7529822040 |
j-invariant |
L |
4.0311098315748 |
L(r)(E,1)/r! |
Ω |
0.11701806271065 |
Real period |
R |
2.4606151514969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999456966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110db1 95550da1 |
Quadratic twists by: 5 -7 |