Atkin-Lehner |
5+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675o |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3340800 |
Modular degree for the optimal curve |
Δ |
63616559423828125 = 511 · 112 · 135 · 29 |
Discriminant |
Eigenvalues |
2 1 5+ -3 11- 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7612008,8080908019] |
[a1,a2,a3,a4,a6] |
j |
3121773943014298095616/4071459803125 |
j-invariant |
L |
1.1837523469853 |
L(r)(E,1)/r! |
Ω |
0.29593815516676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735o1 |
Quadratic twists by: 5 |