Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424bf |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-21288199753433088 = -1 · 217 · 33 · 75 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 0 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45729,7950015] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:2352:1] [-141:3408:1] |
Generators of the group modulo torsion |
j |
-80686039032146/162416074779 |
j-invariant |
L |
12.257635996387 |
L(r)(E,1)/r! |
Ω |
0.34073482727199 |
Real period |
R |
0.19985622928322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bk1 11928b1 |
Quadratic twists by: -4 8 |