Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325o |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-12190763671875 = -1 · 33 · 59 · 19 · 233 |
Discriminant |
Eigenvalues |
2 3+ 5- 4 1 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2625,175781] |
[a1,a2,a3,a4,a6] |
Generators |
[25250:1418371:8] |
Generators of the group modulo torsion |
j |
-37933056/231173 |
j-invariant |
L |
17.321393123207 |
L(r)(E,1)/r! |
Ω |
0.6152123426667 |
Real period |
R |
7.038786410721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325u1 98325v1 |
Quadratic twists by: -3 5 |