Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bz |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-84439300176 = -1 · 24 · 37 · 72 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24960,1515742] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-657:1] |
Generators of the group modulo torsion |
j |
-35094282113491657/1723251024 |
j-invariant |
L |
3.8415357663252 |
L(r)(E,1)/r! |
Ω |
1.0173661261447 |
Real period |
R |
0.089903856962325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998480545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658f1 |
Quadratic twists by: -7 |