Atkin-Lehner |
3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102921c |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10725120 |
Modular degree for the optimal curve |
Δ |
-1.3372478132955E+22 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4905676,-3671062042] |
[a1,a2,a3,a4,a6] |
Generators |
[37712554:2013045759:29791] |
Generators of the group modulo torsion |
j |
2704955308444823552/2770459351707411 |
j-invariant |
L |
3.2612813801312 |
L(r)(E,1)/r! |
Ω |
0.06831144470017 |
Real period |
R |
11.935340302225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7917b1 |
Quadratic twists by: 13 |