Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350c |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62415360 |
Modular degree for the optimal curve |
Δ |
-2.1041813138258E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,314567785,509370346965] |
[a1,a2,a3,a4,a6] |
Generators |
[1209964037329545289:2898579746506117987756:210751100351] |
Generators of the group modulo torsion |
j |
137697620114509287065440839455/84167252553033570444115968 |
j-invariant |
L |
3.0117142060944 |
L(r)(E,1)/r! |
Ω |
0.028592177273178 |
Real period |
R |
26.333375885646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350cu1 |
Quadratic twists by: 5 |