Atkin-Lehner |
7+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
103733a |
Isogeny class |
Conductor |
103733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
439392 |
Modular degree for the optimal curve |
Δ |
1977341122589 = 74 · 29 · 734 |
Discriminant |
Eigenvalues |
0 -2 1 7+ 2 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-753685,-252096148] |
[a1,a2,a3,a4,a6] |
Generators |
[-271543276210:982823686:541343375] |
Generators of the group modulo torsion |
j |
19719765406290804736/823548989 |
j-invariant |
L |
3.8379476561645 |
L(r)(E,1)/r! |
Ω |
0.16203246529476 |
Real period |
R |
11.84314405506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103733b1 |
Quadratic twists by: -7 |