Atkin-Lehner |
3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575g |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
731808 |
Modular degree for the optimal curve |
Δ |
-160354136976075 = -1 · 33 · 52 · 710 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157315,-24089540] |
[a1,a2,a3,a4,a6] |
j |
-60970256305/22707 |
j-invariant |
L |
0.95886444475026 |
L(r)(E,1)/r! |
Ω |
0.11985798261001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575cv1 106575br1 |
Quadratic twists by: 5 -7 |