Atkin-Lehner |
3+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93351a |
Isogeny class |
Conductor |
93351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10788000 |
Modular degree for the optimal curve |
Δ |
-140095508688966933 = -1 · 32 · 2910 · 37 |
Discriminant |
Eigenvalues |
1 3+ -4 -4 0 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143239137,-659902752810] |
[a1,a2,a3,a4,a6] |
Generators |
[977616437930458445616250634927490:2638042702799482894566041249428650438:134208436520335080294231625] |
Generators of the group modulo torsion |
j |
-772553963895601/333 |
j-invariant |
L |
2.4159288164319 |
L(r)(E,1)/r! |
Ω |
0.02181996927242 |
Real period |
R |
55.360499968383 |
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 |
93351e1 |
Quadratic twists by: 29 |