Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658t |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11235840 |
Modular degree for the optimal curve |
Δ |
-5.4214650503209E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11+ -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14930668,-22214875850] |
[a1,a2,a3,a4,a6] |
Generators |
[382239512601801095213465410313042560566150610539204075:32698639951084601674079539308065484946180943803882036705:41228130898164610058639307465216633031415682316747] |
Generators of the group modulo torsion |
j |
-1303109986596104281/191927082798 |
j-invariant |
L |
6.3834153121928 |
L(r)(E,1)/r! |
Ω |
0.038401298344395 |
Real period |
R |
83.114576686238 |
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 |
119658be1 |
Quadratic twists by: -7 |