Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635m |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-14693023019115 = -1 · 312 · 5 · 76 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3822,160438] |
[a1,a2,a3,a4,a6] |
Generators |
[14:465:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
5.0692743674019 |
L(r)(E,1)/r! |
Ω |
0.48929620469973 |
Real period |
R |
2.5900846485263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545p1 2115k1 |
Quadratic twists by: -3 -7 |