Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602d |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4949131442650366104 = -1 · 23 · 33 · 76 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-291933421,-1920000559403] |
[a1,a2,a3,a4,a6] |
Generators |
[667036398396015013214129390397423109986776866350:-163411879460864075800926737038496361232917378598723:10303665386735123840481061321154708509625000] |
Generators of the group modulo torsion |
j |
-579257977790409391657/1041899544 |
j-invariant |
L |
5.4295480130673 |
L(r)(E,1)/r! |
Ω |
0.018262011193264 |
Real period |
R |
74.328450952185 |
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 |
1722g2 |
Quadratic twists by: 41 |