Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520df |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
2520 |
Product of Tamagawa factors cp |
deg |
24030720 |
Modular degree for the optimal curve |
Δ |
-3.7138548874939E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 -7 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,166724255,416116106975] |
[a1,a2,a3,a4,a6] |
Generators |
[14735:2464200:1] |
Generators of the group modulo torsion |
j |
15641202222032012520134968/11333785667400691734375 |
j-invariant |
L |
5.1868575860808 |
L(r)(E,1)/r! |
Ω |
0.034117261874799 |
Real period |
R |
0.060329484453551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520ck1 17760b1 106560fm1 |
Quadratic twists by: -4 8 -3 |