Atkin-Lehner |
7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62699h |
Isogeny class |
Conductor |
62699 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-3634472933 = -1 · 74 · 134 · 53 |
Discriminant |
Eigenvalues |
-1 -3 -2 7- 2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201,3150] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:53:1] [54:333:8] |
Generators of the group modulo torsion |
j |
-31297617/127253 |
j-invariant |
L |
3.5683395164256 |
L(r)(E,1)/r! |
Ω |
1.2230186176447 |
Real period |
R |
0.2431374486687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62699b1 |
Quadratic twists by: 13 |