Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850k |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38707200 |
Modular degree for the optimal curve |
Δ |
-1.68596074944E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142117917,-681341979259] |
[a1,a2,a3,a4,a6] |
Generators |
[43300002416030:-9366704223955151:870983875] |
Generators of the group modulo torsion |
j |
-1032188213995927272747/54819635200000000 |
j-invariant |
L |
4.9986959119352 |
L(r)(E,1)/r! |
Ω |
0.021795544922788 |
Real period |
R |
19.112070650677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999574356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850dc1 22770be1 |
Quadratic twists by: -3 5 |