Atkin-Lehner |
2+ 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306i |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
266400 |
Modular degree for the optimal curve |
Δ |
-250327231488 = -1 · 210 · 35 · 172 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 -4 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1953,40852] |
[a1,a2,a3,a4,a6] |
Generators |
[203:2730:1] [-146:2193:8] |
Generators of the group modulo torsion |
j |
-2848478191849/866184192 |
j-invariant |
L |
7.5998887416628 |
L(r)(E,1)/r! |
Ω |
0.93304849739311 |
Real period |
R |
0.40726118550904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102306e1 |
Quadratic twists by: 17 |