Atkin-Lehner |
2+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97498b |
Isogeny class |
Conductor |
97498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2318400 |
Modular degree for the optimal curve |
Δ |
-151995583541878688 = -1 · 25 · 293 · 417 |
Discriminant |
Eigenvalues |
2+ -1 -2 -5 -1 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-901891,-330579091] |
[a1,a2,a3,a4,a6] |
Generators |
[954945:19325548:729] |
Generators of the group modulo torsion |
j |
-17079827632777/31998368 |
j-invariant |
L |
2.2554602659715 |
L(r)(E,1)/r! |
Ω |
0.077451926176337 |
Real period |
R |
7.2801942005432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2378c1 |
Quadratic twists by: 41 |