Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215cq |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1583712 |
Modular degree for the optimal curve |
Δ |
-9548026122964875 = -1 · 3 · 53 · 74 · 139 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -3 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-251190,-48767806] |
[a1,a2,a3,a4,a6] |
j |
-68841472/375 |
j-invariant |
L |
0.63955696827839 |
L(r)(E,1)/r! |
Ω |
0.10659267752654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215v1 124215bx1 |
Quadratic twists by: -7 13 |