Atkin-Lehner |
7- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
103733b |
Isogeny class |
Conductor |
103733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3075744 |
Modular degree for the optimal curve |
Δ |
232632205731473261 = 710 · 29 · 734 |
Discriminant |
Eigenvalues |
0 2 -1 7- 2 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36930581,86395117528] |
[a1,a2,a3,a4,a6] |
Generators |
[699774:5889313:216] |
Generators of the group modulo torsion |
j |
19719765406290804736/823548989 |
j-invariant |
L |
6.5446822275327 |
L(r)(E,1)/r! |
Ω |
0.23294491523372 |
Real period |
R |
7.023851757941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103733a1 |
Quadratic twists by: -7 |