Atkin-Lehner |
3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96195d |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-18372645028995345 = -1 · 35 · 5 · 1111 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- -1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,65217,1225602] |
[a1,a2,a3,a4,a6] |
Generators |
[18258:576511:216] |
Generators of the group modulo torsion |
j |
17315683851311/10370879145 |
j-invariant |
L |
3.7199301354873 |
L(r)(E,1)/r! |
Ω |
0.23714180579574 |
Real period |
R |
3.9216304675774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8745a1 |
Quadratic twists by: -11 |