Atkin-Lehner |
2+ 3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578r |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
857088 |
Modular degree for the optimal curve |
Δ |
-246962516226048 = -1 · 212 · 36 · 76 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65724,6545744] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-293:1] [47:1863:1] |
Generators of the group modulo torsion |
j |
-43069701481085889/338768883712 |
j-invariant |
L |
6.5440631112882 |
L(r)(E,1)/r! |
Ω |
0.55776175860203 |
Real period |
R |
1.9554535037691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9842k1 |
Quadratic twists by: -3 |