Atkin-Lehner |
2+ 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330f |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125184 |
Modular degree for the optimal curve |
Δ |
-825355520 = -1 · 28 · 5 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ -3 5+ -5 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5,1381] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:21:1] [-3:38:1] |
Generators of the group modulo torsion |
j |
101871/6821120 |
j-invariant |
L |
3.0058659697814 |
L(r)(E,1)/r! |
Ω |
1.2553532936374 |
Real period |
R |
0.59860956781996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330bd1 |
Quadratic twists by: -11 |