Atkin-Lehner |
3+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283f |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-26815688652621141 = -1 · 39 · 711 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- -4 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1529732,727639562] |
[a1,a2,a3,a4,a6] |
Generators |
[790:3206:1] |
Generators of the group modulo torsion |
j |
-3364972696972491697/227929592709 |
j-invariant |
L |
1.8792419884358 |
L(r)(E,1)/r! |
Ω |
0.35665690070713 |
Real period |
R |
1.3172617584474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469h1 |
Quadratic twists by: -7 |