Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397y |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-16911421839351 = -1 · 37 · 13 · 296 |
Discriminant |
Eigenvalues |
1 3- -2 -4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3627,178200] |
[a1,a2,a3,a4,a6] |
Generators |
[323596:4172202:2197] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
5.1010550413656 |
L(r)(E,1)/r! |
Ω |
0.4902960672309 |
Real period |
R |
10.404030150276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999516445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32799i1 117a1 |
Quadratic twists by: -3 29 |