Atkin-Lehner |
2- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98624n |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37056 |
Modular degree for the optimal curve |
Δ |
-36293632 = -1 · 210 · 232 · 67 |
Discriminant |
Eigenvalues |
2- 2 4 4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,213] |
[a1,a2,a3,a4,a6] |
Generators |
[-3472455:211492:1157625] |
Generators of the group modulo torsion |
j |
21807104/35443 |
j-invariant |
L |
15.282854092568 |
L(r)(E,1)/r! |
Ω |
1.4052331022202 |
Real period |
R |
10.875671851379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98624c1 24656g1 |
Quadratic twists by: -4 8 |