Atkin-Lehner |
3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397i |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11773440 |
Modular degree for the optimal curve |
Δ |
-4413881100070611 = -1 · 39 · 13 · 297 |
Discriminant |
Eigenvalues |
2 3+ 1 0 -2 13- 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-267057027,-1679786661877] |
[a1,a2,a3,a4,a6] |
j |
-179910479913725952/377 |
j-invariant |
L |
3.6599450607965 |
L(r)(E,1)/r! |
Ω |
0.018673191734795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397l1 3393c1 |
Quadratic twists by: -3 29 |